Articles

Brigati G., Dolbeault J., Simonov N. (2024), On Gaussian interpolation inequalities, Comptes rendus. Mathématique, vol. 362, p. 21-44

Dolbeault J., Esteban M., Séré É. (2023), Corrigendum to: “On the eigenvalues of operators with gaps. Application to Dirac operators” [J. Funct. Anal. 174 (1) (2000) 208–226], Journal of Functional Analysis, vol. 284, n°1

Dolbeault J., Gontier D., Pizzichillo F., Van Den Bosch H. (2023), Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators, Revista Matematica Iberoamericana

Brigati G., Dolbeault J., Simonov N. (2023), Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, p. 1-33

Dolbeault J., Esteban M., Séré É. (2023), Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators, Journal of Spectral Theory, vol. 13, n°2, p. 491–524

BONFORTE M., Dolbeault J., Nazaret B., Simonov N. (2023), Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations, Discrete and Continuous Dynamical Systems. Series A, vol. 43, n°3&4, p. 1070-1089

Dolbeault J., Zhang A. (2023), Parabolic methods for ultraspherical interpolation inequalities, Discrete and Continuous Dynamical Systems. Series A, vol. 43, n°3&4, p. 1347-1365

Carrapatoso K., Dolbeault J., Hérau F., Mischler S., MOUHOT C., Schmeiser C. (2023), Special macroscopic modes and hypocoercivity, Journal of the European Mathematical Society

Carrapatoso K., Dolbeault J., Hérau F., Mischler S., Mouhot C. (2022), Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators, Archive for Rational Mechanics and Analysis, vol. 243, p. 1565–1596

Bouin E., Dolbeault J., Lafleche L., Schmeiser C. (2022), Fractional hypocoercivity, Communications in Mathematical Physics, vol. 390, p. 1369–1411

Bouin E., Dolbeault J., Lafleche L., Schmeiser C. (2021), Hypocoercivity and sub-exponential local equilibria, Monatshefte für Mathematik, vol. 194, p. 41–65

Dolbeault J., Frank R., Jeanjean L. (2021), Logarithmic estimates for mean-field models in dimension two and the Schrödinger–Poisson system, Comptes rendus. Mathématique, vol. 359, n°10, p. 1279-1293

Addala L., Dolbeault J., Li X., Lazhar Tayeb M. (2021), L2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system, Journal of Statistical Physics, vol. 184

Dolbeault J. (2021), Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results, Milan Journal of Mathematics, vol. 89, p. 355–386

Dolbeault J., Turinici G. (2021), Social heterogeneity and the COVID-19 lockdown in a multi-group SEIR model, Computational and Mathematical Biophysics, vol. 9, n°1, p. 14-21

Bonheure D., Dolbeault J., Esteban M., Laptev A., Loss M. (2021), Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3, Reviews in Mathematical Physics, vol. 33, n°3, p. 1-29

Dolbeault J., Turinici G. (2020), Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model, Mathematical Modelling of Natural Phenomena, vol. 15, n°36, p. 18

Bouin E., Dolbeault J., Mischler S., Mouhot C., Schmeiser C. (2020), Hypocoercivity without confinement, Pure and Applied Analysis, vol. 2, n°2, p. 203-232

Dolbeault J., Esteban M. (2020), Improved interpolation inequalities and stability, Advanced Nonlinear Studies, vol. 20, n°2, p. 277–291

Bouin E., Dolbeault J., Schmeiser C. (2020), A variational proof of Nash’s inequality, Atti della Accademia Nazionale dei Lincei. Classe di scienze fisiche, matematiche e naturali, Matematica e applicazioni, vol. 31, n°1, p. 211-223

Dolbeault J., Garcia-Huidobro M., Manásevich R. (2020), Interpolation inequalities in W1,p(S1) and carré du champ methods, Discrete and Continuous Dynamical Systems, vol. 40, n°1, p. 375-394

Bouin E., Dolbeault J., Schmeiser C. (2020), Diffusion and kinetic transport with very weak confinement, Kinetic & Related Models, vol. 13, n°2, p. 345-371

Bonheure D., Dolbeault J., Esteban M., Laptev A., Loss M. (2019), Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields, Communications in Mathematical Physics, p. 17

Dolbeault J., Li X. (2019), Generalized logarithmic Hardy-Littlewood-Sobolev inequality, International Mathematics Research Notices, p. 9

Carrillo J., Delgadino M., Dolbeault J., Frank R., Hoffmann F. (2019), Reverse Hardy-Littlewood-Sobolev inequalities, Journal de mathématiques pures et appliquées, vol. 132, p. 133-165

Chupin M., Dolbeault J., Esteban M., Lewin M. (2018), Une cartographie de la communauté mathématique française, Gazette des Mathématiciens, vol. 156, n°avril 2018, p. 49-61

Dolbeault J., Esteban M., Laptev A., Loss M. (2018), Interpolation inequalities and spectral estimates for magnetic operators, Annales Henri Poincaré, vol. 19, n°5, p. 1439–1463

Dolbeault J., Esteban M., Laptev A., Loss M. (2018), Magnetic rings, Journal of Mathematical Physics, vol. 59, n°5

Dolbeault J., Li X. (2018), φ -Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations, Mathematical Models and Methods in Applied Sciences, vol. 28, n°13, p. 2637-2666

Bonforte M., Dolbeault J., Muratori M., Nazaret B. (2017), Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods, Kinetic & Related Models, vol. 10, n°1, p. 61-91

Bonforte M., Dolbeault J., Muratori M., Nazaret B. (2017), Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities, Kinetic & Related Models, vol. 10, n°1, p. 33-59

Dolbeault J., Esteban M., Jankowiak G. (2017), Onofri inequalities and rigidity results, Discrete and Continuous Dynamical Systems, vol. 37, n°6, p. 3059-3078

Dolbeault J., Esteban M., Loss M. (2017), Interpolation inequalities on the sphere: linear vs. nonlinear flows, Annales de la Faculté des Sciences de Toulouse, vol. 26, n°2, p. 351-379

Dolbeault J., Esteban M., Loss M., Muratori M. (2017), Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities, Comptes rendus. Mathématique, vol. 355, n°2, p. 133-154

Dolbeault J., Kowalczyk M. (2017), Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities and spectral estimates, Annales de la Faculté des Sciences de Toulouse, vol. 26, n°4, p. 949-977

Dolbeault J., Zhang A. (2017), Flows and functional inequalities for fractional operators, Applicable Analysis, vol. 96, n°9, p. 1547-1560

Dolbeault J., Muratori M., Nazaret B. (2017), Weighted interpolation inequalities: a perturbation approach, Mathematische Annalen, vol. 369, n°3-4, p. 1237-1270

Dolbeault J., Esteban M., Loss M. (2016), Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces, Inventiones Mathematicae, vol. 206, n°2, p. 397-440

Dolbeault J., Zhang A. (2016), Optimal functional inequalities for fractional operators on the sphere and applications, Advanced Nonlinear Studies, vol. 16, n°4, p. 863-880

Dolbeault J., Esteban M., Loss M. (2016), Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization, Journal of Elliptic and Parabolic Equations, vol. 2, n°1-2, p. 267-295

Dolbeault J., Toscani G. (2016), Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities, International Mathematics Research Notices, vol. 2016, n°2, p. 473-498

Dolbeault J., Toscani G. (2016), Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays, Nonlinear Analysis, vol. 138, p. 31-43

Dolbeault J., Jankowiak G., Markowich P. (2015), Stationary solutions of Keller-Segel type crowd motion and herding models: multiplicity and dynamical stability, Mathematics and Mechanics of Complex Systems, vol. 3, n°3, p. 211-242

Dolbeault J., Esteban M., Filippas S., Tertikas A. (2015), Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities, Calculus of Variations and Partial Differential Equations, vol. 54, n°3, p. 2465-2481

Dolbeault J., Esteban M., Jankowiak G. (2015), The Moser-Trudinger-Onofri inequality, Chinese Annals of Mathematics, Series B, vol. 36, n°5, p. 777-802

Dolbeault J., Esteban M., Jankowiak G. (2015), Rigidity results for semilinear elliptic equations with exponential nonlinearities and Moser-Trudinger-Onofri inequalities on two-dimensional Riemannian manifolds, Calculus of Variations and Partial Differential Equations, vol. 54, n°3, p. 2465-2481

Stanczy R., Dolbeault J. (2015), Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics, Discrete and Continuous Dynamical Systems, vol. 35, n°1, p. 139-154

Dolbeault J., Toscani G. (2015), Best matching Barenblatt profiles are delayed, Journal of Physics A: Mathematical and Theoretical, vol. 48, n°6, p. n°065206

Dolbeault J., Esteban M., Loss M. (2015), Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders, Comptes rendus. Mathématique, vol. 353, n°9, p. 813-818

Dolbeault J., Esteban M., Laptev A., Loss M. (2014), One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality and flows, Journal of the London Mathematical Society, vol. 90, n°2, p. 525-550

Dolbeault J., Jankowiak G. (2014), Sobolev and Hardy-Littlewood-Sobolev inequalities, Journal of Differential Equations, vol. 257, n°6, p. 1689–1720

Loss M., Dolbeault J., Esteban M. (2014), Nonlinear flows and rigidity results on compact manifolds, Journal of Functional Analysis, vol. 267, n°5, p. 1338-1363

Campos Serrano J., Dolbeault J. (2014), Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane, Communications in Partial Differential Equations, vol. 39, n°5, p. 806-841

Esteban M., Kowalczyk M., Loss M., Dolbeault J. (2014), Improved interpolation inequalities on the sphere, Discrete and Continuous Dynamical Systems. Series S, vol. 7, n°4, p. 695-724

Manásevich R., Dolbeault J., Cortázar C., Garcia-Huidobro M. (2014), Existence of sign changing solutions for an equation with a weighted p-Laplace operator, Nonlinear Analysis, vol. 110, p. 1-22

Dolbeault J., Esteban M., Laptev A. (2014), Spectral estimates on the sphere, Analysis & PDE, vol. 7, n°2, p. 435-460

Dolbeault J., Esteban M. (2014), Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations, Nonlinearity, vol. 27, n°3, p. n°435

Dolbeault J., Laptev A., Esteban M., Loss M. (2013), Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates, Comptes rendus. Mathématique, vol. 351, n°11-12, p. 437-440

Esteban M., Kowalczyk M., Loss M., Dolbeault J. (2013), Sharp interpolation inequalities on the sphere: new methods and consequences, Chinese Annals of Mathematics, Series B, vol. 34, n°1, p. 99-112

Catto I., Dolbeault J., Sánchez Ó., Soler J. (2013), Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle, Mathematical Models and Methods in Applied Sciences, vol. 23, n°10, p. 1915-1938

Garcia-Huidobro M., Dolbeault J., Manásevich R. (2013), Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator, Advanced Nonlinear Studies, vol. 13, n°1, p. 149-178

Schmeiser C., Mouhot C., Klar A., Dolbeault J. (2013), Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes, Applied Mathematics Research Express, vol. 2013, n°2, p. 165-175

Dolbeault J., Toscani G. (2013), Improved interpolation inequalities, relative entropy and fast diffusion equations, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 30, n°5, p. 917-934

Del Pino M., Dolbeault J. (2013), The Euclidean Onofri inequality in higher dimensions, International Mathematics Research Notices, vol. 2013, n°15, p. 3600-3611

Campos Serrano J., Dolbeault J. (2012), A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities, Comptes rendus. Mathématique, vol. 350, n°21-22, p. 949-954

Dolbeault J., Esteban M. (2012), Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities, Proceedings of the Royal Society of Edinburgh. Section A, Mathematical and Physical Sciences, vol. 142, n°4, p. 745-767

Dolbeault J., Nazaret B., Savaré G. (2012), From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach, SIAM Journal on Mathematical Analysis, vol. 44, n°5, p. 3186-3216

Mouhot C., Schmeiser C., Dolbeault J. (2012), Hypocoercivity for linear kinetic equations conserving mass, Transactions of the American Mathematical Society, p. 21

Dolbeault J., Esteban M. (2012), A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities, Journal of Numerical Mathematics, vol. 20, n°3-4, p. 233-250

Esteban M., Dolbeault J., Loss M. (2012), Symmetry of extremals of functional inequalities via spectral estimates for linear operators, Journal of Mathematical Physics, vol. 53, n°9, p. 18 pages

Volzone B., Dolbeault J. (2012), Improved Poincaré inequalities, Nonlinear Analysis, vol. 75, n°16, p. 5985–6001

Dolbeault J. (2011), Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion, Mathematical Research Letters, vol. 18, n°6, p. 1037-1050

Dolbeault J., Tertikas A., Tarantello G., Esteban M. (2011), Radial symmetry and symmetry breaking for some interpolation inequalities, Calculus of Variations and Partial Differential Equations, vol. 42, n°3-4, p. 461-485

Corrias L., Biler P., Dolbeault J. (2011), Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis, Journal of Mathematical Biology, vol. 63, n°1, p. 1-32

Bartier J-P., Blanchet A., Dolbeault J., Escobedo M. (2011), Improved intermediate asymptotics for the heat equation, Applied Mathematics Letters, vol. 24, n°1, p. 76-81

Toscani G., Dolbeault J. (2011), Fast diffusion equations: matching large time asymptotics by relative entropy methods, Kinetic & Related Models, vol. 4, n°3, p. 701-716

Aki G., Sparber C., Dolbeault J. (2011), Thermal effects in gravitational Hartree systems, Annales Henri Poincaré, vol. 12, n°6, p. 1055-1079

Dolbeault J., Monneau R., Blanchet A. (2010), Erratum to “On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients”: [J. Math. Pures Appl. 85 (3) (2006) 371–414], Journal de mathématiques pures et appliquées, vol. 94, n°4, p. 447-449

Del Pino M., Dolbeault J., Filippas S., Tertikas A. (2010), A logarithmic Hardy inequality, Journal of Functional Analysis, vol. 259, n°8, p. 2045-2072

Dolbeault J. (2010), Extremal functions and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities, Oberwolfach Reports, vol. 7, n°1, p. 330-334

Grillo G., Vazquez J-L., Dolbeault J., Bonforte M. (2010), Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities, PNAS - Proceedings of the National Academy of Sciences of the United States of America, vol. 107, n°38, p. 16459-16464

Stanczy R., Dolbeault J. (2010), Non-existence and uniqueness results for supercritical semilinear elliptic equations, Annales Henri Poincaré, vol. 10, n°7, p. 1311-1333

Fernandez J., Escobedo M., Blanchet A., Dolbeault J. (2010), Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model, Journal of Mathematical Analysis and Applications, vol. 361, n°2, p. 533-542

Campos Serrano J., Del Pino M., Dolbeault J. (2010), Relative equilibria in continuous stellar dynamics, Communications in Mathematical Physics, vol. 300, n°3, p. 765-788

Savaré G., Dolbeault J., Nazaret B. (2009), A new class of transport distances between measures, Calculus of Variations and Partial Differential Equations, vol. 34, n°2, p. 193-231

Dolbeault J., Schmeiser C. (2009), The two-dimensional Keller-Segel model after blow-up, Discrete and Continuous Dynamical Systems, vol. 25, n°1, p. 109-121

Dolbeault J., Esteban M., Tarantello G. (2009), Multiplicity results for the assigned Gauss curvature problem in R2, Nonlinear Analysis, vol. 70, n°8, p. 2870-2881

Schmeiser C., Mouhot C., Dolbeault J. (2009), Hypocoercivity for kinetic equations with linear relaxation terms, Comptes rendus. Mathématique, vol. 347, n°9-10, p. 511-516

Dolbeault J., Felmer P., Lewin M. (2009), Orbitally-Stable States in Generalized Hartree-Fock Theory, Mathematical Models and Methods in Applied Sciences, vol. 19, n°3, p. 347-367

Grillo G., Bonforte M., Dolbeault J., Vazquez J-L., Blanchet A. (2009), Asymptotics of the fast diffusion equation via entropy estimates, Archive for Rational Mechanics and Analysis, vol. 191, n°2, p. 347-385

Tarantello G., Loss M., Dolbeault J., Esteban M. (2009), On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities, Advanced Nonlinear Studies, vol. 9, n°4, p. 713-726

Monneau R., Dolbeault J., Benguria R. (2009), Harnack inequalities and discrete - continuum error estimates for a chain of atoms with two - body interactions, Journal of Statistical Physics, vol. 134, n°1, p. 27-51

Dolbeault J., Kowalczyk M., Blanchet A. (2009), Stochastic Stokes' drift, homogenized functional inequalities, and large time behavior of Brownian ratchets, SIAM Journal on Mathematical Analysis, vol. 41, n°1, p. 46-76

Fernandez J., Dolbeault J. (2008), Localized minimizers of flat rotating gravitational systems, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 25, n°6, p. 1043-1071

Dolbeault J., Blanchet A., Kowalczyk M. (2008), Travelling fronts in stochastic Stokes' drifts, Physica A : Statistical Mechanics and its Applications, vol. 387, n°23, p. 5741-5751

Esteban M., Bosi R., Dolbeault J. (2008), Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators, Communications on Pure and Applied Mathematics, vol. 7, n°3, p. 533–562

Felmer P., Mayorga-Zambrano J., Dolbeault J. (2008), Compactness properties for trace-class operators and applications to quantum mechanics, Monatshefte für Mathematik, vol. 155, n°1, p. 43-66

Dolbeault J., Laptev A., Loss M. (2008), Lieb-Thirring inequalities with improved constants, Journal of the European Mathematical Society, vol. 10, n°4, p. 1121-1126

Esteban M., Tarantello G., Dolbeault J. (2008), The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions, Annali della Scuola Normale Superiore di Pisa, vol. 7, n°2, p. 313–341

Savaré G., Nazaret B., Dolbeault J. (2008), On the Bakry-Emery criterion for linear diffusions and weighted porous media equations, Communications in Mathematical Sciences, vol. 6, n°2, p. 477-494

Dolbeault J., Guillin A., Gentil I., Wang F-Y. (2008), L^q-functional inequalities and weighted porous media equations., Potential Analysis, vol. 28, n°1, p. 35-39

Loss M., Esteban M., Dolbeault J. (2008), Characterization of the critical magnetic field in the Dirac-Coulomb equation, Journal of Physics A: Mathematical and Theoretical, vol. 41, n°18, p. 185-303

Flores I., Dolbeault J. (2007), Geometry of phase space and solutions of semilinear elliptic equations in a ball, Transactions of the American Mathematical Society, n°359, p. 4073-4087

Esteban M., Duoandikoetxea J., Dolbeault J., Vega L. (2007), Hardy-type estimates for Dirac operators, Annales scientifiques de l'Ecole normale supérieure, vol. 40, n°6, p. 885-900

Loss M., Dolbeault J., Esteban M. (2007), Relativistic hydrogenic atoms in strong magnetic fields, Annales Henri Poincaré, vol. 8, n°4, p. 749-779

Bartier J-P., Arnold A., Dolbeault J. (2007), Interpolation between logarithmic Sobolev and Poincaré inequalities, Communications in Mathematical Sciences, vol. 5, n°4, p. 971-979

Dolbeault J., Bonforte M., Vazquez J-L., Grillo G., Blanchet A. (2007), Hardy-Poincaré inequalities and applications to nonlinear diffusions, Comptes rendus. Mathématique, vol. 344, n°7, p. 431-436

Bartier J-P., Illner R., Dolbeault J., Kowalczyk M. (2007), A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients, Mathematical Models and Methods in Applied Sciences, vol. 17, n°3, p. 327-362

Schmeiser C., Dolbeault J., Markowich P., Oelz D. (2007), Nonlinear diffusions as limit of kinetic equations with relaxation collision kernels, Archive for Rational Mechanics and Analysis, vol. 186, n°1, p. 133-158

Felmer P., Loss M., Paturel E., Dolbeault J. (2006), Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems, Journal of Functional Analysis, vol. 238, n°1, p. 193-220

Dolbeault J., Bartier J-P. (2006), Convex Sobolev inequalities and spectral gap, Comptes rendus. Mathématique, vol. 342, n°5, p. 307-312

Dolbeault J., Sanchez O., Fernandez J. (2006), Stability for the gravitational Vlasov-Poisson system in dimension two, Communications in Partial Differential Equations, vol. 31, n°10, p. 1425-1449

Dolbeault J., Del Pino M., Musso M. (2006), Multiple bubbling for the exponential nonlinearity in the slightly supercritical case, Communications on Pure and Applied Analysis, vol. 5, n°3, p. 463-482

Gentil I., Carrillo J., Dolbeault J., Juengel A. (2006), Entropy-Energy inequalities and improved convergence rates for nonlinear parabolic equations, Discrete and Continuous Dynamical Systems. Series B, vol. 6, n°5, p. 1027-1050

Perthame B., Blanchet A., Dolbeault J. (2006), Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions, Electronic Journal of Differential Equations, vol. 44, p. 1-33

Séré E., Dolbeault J., Esteban M. (2006), General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators., Journal of the European Mathematical Society, vol. 8, n°2, p. 243-251

Blanchet A., Monneau R., Dolbeault J. (2006), On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients, Journal de mathématiques pures et appliquées, vol. 85, n°3, p. 371-414

Dolbeault J., Gentil I., Jüngel A. (2006), A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities, Communications in Mathematical Sciences, vol. 4, n°2, p. 275-290

Arnold A., Dolbeault J. (2005), Refined convex Sobolev inequalities, Journal of Functional Analysis, vol. 225, n°2, p. 337-351

Dolbeault J., Felmer P., Monneau R. (2005), Symmetry and non-uniformly elliptic operators, Differential and Integral Equations, vol. 18, n°2, p. 141-154

Escobedo M., Dolbeault J. (2005), L1 and L8 intermediate asymptotics for scalar conservation laws, Asymptotic Analysis, vol. 41, n°3-4, p. 189-213

Del Pino M., Musso M., Dolbeault J. (2004), A Phase Plane Analysis of the “Multi-Bubbling” Phenomenon in Some Slightly Supercritical Equations, Monatshefte für Mathematik, vol. 142, n°1-2, p. 57-79

Benguria R., Monneau R., Catto I., Dolbeault J. (2004), Oscillating minimizers of a fourth order problem invariant under scaling, Journal of Differential Equations, vol. 205, n°1, p. 253-269

Del Pino M., Dolbeault J., Gentil I. (2004), Nonlinear diffusions, hypercontractivity and the optimal Lp-Euclidean logarithmic Sobolev inequality, Journal of Mathematical Analysis and Applications, vol. 293, n°2, p. 375-388

Dolbeault J., Toscani G., Jüngel A., Arnold A., Lederman C., Desvillettes L. (2004), Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research, Monatshefte für Mathematik, vol. 142, n°1-2, p. 35-43

Loss M., Dolbeault J., Esteban M., Vega L. (2004), An analytical proof of Hardy-like inequalities related to the Dirac operator, Journal of Functional Analysis, vol. 216, n°1, p. 1-21

Sanchez O., Soler J., Dolbeault J. (2004), Asymptotic Behaviour for the Vlasov-Poisson System in the Stellar-Dynamics Case, Archive for Rational Mechanics and Analysis, vol. 171, n°3, p. 301-327

Dolbeault J., Perthame B. (2004), Optimal critical mass in the two dimensional Keller–Segel model in R2, Comptes rendus. Mathématique, vol. 339, n°9, p. 611-616

Dolbeault J., Musso M., Del Pino M. (2004), The Brezis–Nirenberg problem near criticality in dimension 3, Journal de mathématiques pures et appliquées, vol. 83, n°12, p. 1405-1456

Markowich P., Dolbeault J., Sparber C., Carrillo J. (2004), On the Long-Time Behavior of the Quantum Fokker-Planck Equation, Monatshefte für Mathematik, vol. 141, n°3, p. 237-257

Felmer P., Dolbeault J. (2004), Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case, Nonlinear Analysis, vol. 58, n°3-4, p. 299-317

Dolbeault J., Del Pino M. (2003), The optimal Euclidean Lp-Sobolev logarithmic inequality, Journal of Functional Analysis, vol. 197, n°1, p. 151-161

Dolbeault J., Séré E., Esteban M. (2003), A variational method for relativistic computations in atomic and molecular physics, International Journal of Quantum Chemistry, vol. 93, n°3, p. 149-155

Dolbeault J., Illner R. (2003), Entropy methods for kinetic models of traffic flow, Communications in Mathematical Sciences, vol. 1, n°3, p. 409-421

Dolbeault J., Monneau R. (2003), On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two, Annali della Scuola Normale Superiore di Pisa, vol. 2, n°1, p. 181-197

Ounaies H., Dolbeault J., Balabane M. (2003), Nodal solutions for a sublinear elliptic equation, Nonlinear Analysis, vol. 52, n°1, p. 219-237

Del Pino M., Dolbeault J. (2003), Asymptotic behavior of nonlinear diffusions, Mathematical Research Letters, vol. 10, n°4, p. 551-557

Del Pino M., Musso M., Dolbeault J. (2003), "Bubble-tower" radial solutions in the slightly supercritical Brezis–Nirenberg problem, Journal of Differential Equations, vol. 193, n°2, p. 280-306

Ben Abdallah N., Dolbeault J. (2003), Relative Entropies for Kinetic Equations in Bounded Domains (Irreversibility, Stationary Solutions, Uniqueness), Archive for Rational Mechanics and Analysis, vol. 168, n°4, p. 253-298

Séré E., Dolbeault J., Esteban M. (2002), About a non-homogeneous Hardy-inequality and its relation with the spectrum of Dirac operators, Séminaire Équations aux dérivées partielles (dit "Goulaouic-Schwartz"), p. Exposé n°XVIII

Dolbeault J., Del Pino M. (2002), Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian, Comptes rendus. Mathématique, vol. 334, n°5, p. 365-370

Ramaswamy M., Esteban M., Dolbeault J. (2002), Radial Singular Solutions of a Critical Problem in a Ball, Differential and Integral Equations, vol. 15, n°1, p. 1459-1474

Dolbeault J., Monneau R. (2002), Convexity estimates for nonlinear elliptic equations and application to free boundary problems, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 19, n°6, p. 903-926

Lange H., Dolbeault J., Illner R. (2002), On Asymmetric Quasiperiodic Solutions of Hartree–Fock Systems, Journal of Differential Equations, vol. 178, n°2, p. 314-324

Caceres M., Carrillo J., Dolbeault J. (2002), Nonlinear stability in Lp for a confined system of charged particles, SIAM Journal on Mathematical Analysis, vol. 34, n°2, p. 478-494

Biler P., Dolbeault J., Esteban M. (2002), Intermediate asymptotics in L1 for general nonlinear diffusion equations, Applied Mathematics Letters, vol. 15, n°1, p. 101-107

Del Pino M., Dolbeault J. (2002), Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions, Journal de mathématiques pures et appliquées, vol. 81, n°9, p. 847-875

Karch G., Biler P., Esteban M., Dolbeault J. (2001), Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater's models, Advances in Differential Equations, vol. 6, n°4, p. 461-480

Dolbeault J., Unterreiter A., Markowich P. (2001), On Singular Limits of Mean-Field Equations, Archive for Rational Mechanics and Analysis, vol. 158, n°4, p. 319-351

Dolbeault J., Rein G. (2001), Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics, Mathematical Models and Methods in Applied Sciences, vol. 11, n°3, p. 407-432

Dolbeault J., Biler P., Markowich P. (2001), Large Time Asymptotic of Nonlinear Drift-Diffusion Systems with Poisson Coupling, Transport Theory and Statistical Physics, vol. 30, n°4-6, p. 521-536

Benguria R., Dolbeault J., Esteban M. (2000), Classification of the Solutions of Semilinear Elliptic Problems in a Ball, Journal of Differential Equations, vol. 167, n°2, p. 438-466

Biler P., Dolbeault J. (2000), Long Time Behavior of Solutions to Nernst-Planck and Debye-Hückel Drift-Diffusion Systems, Annales Henri Poincaré, vol. 1, n°3, p. 461-472

Ben Abdallah N., Dolbeault J. (2000), Relative entropies for the Vlasov–Poisson system in bounded domains, Comptes rendus. Mathématique, vol. 330, n°10, p. 867-872

Dolbeault J. (2000), Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models, Transport Theory and Statistical Physics, vol. 29, n°3 et 5, p. 537-549

Dolbeault J., Felmer P. (2000), Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE's, Communications in Partial Differential Equations, vol. 25, n°5-6, p. 1153-1169

Séré E., Vanbreugel M., Dolbeault J., Esteban M. (2000), Minimization Methods for the One-Particle Dirac Equation, Physical Review Letters, vol. 85, n°19, p. 4020-4023

Séré E., Esteban M., Dolbeault J. (2000), Variational characterization for eigenvalues of Dirac operators, Calculus of Variations and Partial Differential Equations, vol. 10, n°4, p. 321-347

Séré E., Esteban M., Dolbeault J. (2000), On the Eigenvalues of Operators with Gaps. Application to Dirac Operators, Journal of Functional Analysis, vol. 174, n°1, p. 208-226

Dolbeault J. (2000), Monokinetic charged particle beams: qualitative behavior of the solutions of the Cauchy problem and 2d time-periodic solutions of the Vlasov-Poisson system, Communications in Partial Differential Equations, vol. 25, n°9-10, p. 1567-1647

Markowich P., Dolbeault J., Cafarelli L., Schmeiser C. (2000), On Maxwellian equilibria of insulated semiconductors, Interfaces and Free Boundaries, vol. 2, n°3, p. 331-339

Dolbeault J. (1999), Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (Large time behavior and steady states), Journal de mathématiques pures et appliquées, vol. 78, n°2, p. 121-157

Dolbeault J., Felmer P. (1999), Symétrie des solutions d'équations semi-linéaires elliptiques, Comptes rendus. Mathématique, vol. 329, n°8, p. 677-682

Poupaud F., Dolbeault J. (1995), A remark on the critical explosion parameter for a semilinear elliptic equation in a generic domain using an explosion time of an ordinary differential equation, Nonlinear Analysis, vol. 24, n°8, p. 1149-1162

Chapitres d'ouvrage

Dolbeault J., Esteban M. (2022), Hardy-Littlewood-Sobolev and related inequalities : stability, in Rupert L. Frank, Ari Laptev, Mathieu Lewin, Robert Seiringer, The Physics and Mathematics of Elliott Lieb The 90th Anniversary, Volume I, Colombelles (Calvados): EMS - Editions Management et Sociétés, p. 247-268

Arnold A., Dolbeault J., Schmeiser C., Wöhrer T. (2022), Sharpening of decay rates in Fourier based hypocoercivity methods, in Francesco Salvarani, Recent Advances in Kinetic Equations and Applications Springer, p. 1-50

Dolbeault J., Esteban M., Loss M. (2021), Critical magnetic field for 2d magnetic Dirac-Coulomb operators and Hardy inequalities, in Pavel Exner, Rupert L. Frank, Fritz Gesztesy, Helge Holden, Timo Weidl, Partial Differential Equations, Spectral Theory, and Mathematical Physics .The Ari Laptev Anniversary Volume, Zürich: European Mathematical Society, p. 41-63

Esteban M., Dolbeault J., Loss M., Kowalczyk M. (2014), Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences, in Maday, Yvon, Partial Differential Equations: Theory, Control and Approximation. In Honor of the Scientific Heritage of Jacques-Louis Lions, Berlin: Springer, p. 429

Esteban M., Dolbeault J. (2012), About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities, in Karlsen, Kenneth H., Nonlinear Partial Differential Equations - The Abel Symposium 2010, Berlin: Abel Symposia, p. 360

Monneau R., Blanchet A., Dolbeault J. (2005), On the one-dimensional parabolic obstacle problem with variable coefficients, in Brighi, Bernhard, Elliptic and parabolic problems : A Special Tribute to the Work of Haim Brezis, Basel: Springer, p. 59-66

Nadzieja T., Markowich P., Dolbeault J., Biler P., Esteban M. (2004), Steady states for Streater’s energy-transport models of self-gravitating particles, in Ringhofer, Christian, Transport in transition regimes, Berlin: Springer, p. 37-56

Indelicato P., Dolbeault J., Séré E., Esteban M., Desclaux J. (2003), Computational approaches of relativistic models in quantum chemistry, in Le Bris, Claude, Handbook of Numerical Chemistry Elsevier, p. 899

Communications avec actes

Dolbeault J., Esteban M., Loss M. (2018), Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs, in , International Congress of Mathematicians 2018, Rio de Janeiro, World Scientific, 2261-2285 p.

Esteban M., Dolbeault J. (2011), Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants, in Exner, Pavel, Mathematical results in quantum physics. Proceedings of the QMath11 Conference Hradec Králové, Czech Republic, 6 - 10 September 2010, Hradec Králové, World Scientific, 178-182 p.

Karch G., Dolbeault J. (2006), Large time behaviour of solutions to nonhomogeneous diffusion equations, in Karch, Grzegorz, Self-Similar Solutions of Nonlinear PDE, Bedlewo, Dove Medical Press, 133-147 p.

Del Pino M., Dolbeault J., Musso M. (2004), Duality in Sub-Supercritical Bubbling in the Brezis-Nirenberg Problem near the Critical Exponent, in Vogelius, Michael S., Partial differential equations and inverse problems : Pan-American Advanced Studies Institute on Partial Differential Equations, Nonlinear Analysis and Inverse Problems, January 6-18, 2003, Santiago, Chile, Santiago, American Mathematical Society, 410 p.

Arnold A., Carrillo J., Desvillettes L., Dolbeault J., Jüngel A., Lederman C., Markowich P., Toscani G., Villani C. (2004), Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research, in Ansgar Jüngel, Raul Manasevich, Peter A. Markowich, Henrik Shahgholian, Berlin Heidelberg, Springer, 35-43 p.

Kowalczyk M., Kinderlehrer D., Dolbeault J. (2004), Remarks about the Flashing Rachet, in Vogelius, Michael S., Partial differential equations and inverse problems : Pan-American Advanced Studies Institute on Partial Differential Equations, Nonlinear Analysis and Inverse Problems, January 6-18, 2003, Santiago, Chile, Santiago, American Mathematical Society, 410 p.

Dolbeault J., Esteban M., Séré E. (2000), Variational Methods in Relativistic Quantum Mechanics: New Approach to the Computation of Dirac Eigenvalues, in Le Bris, Claude, Mathematical models and methods for ab initio quantum chemistry, Edimbourg, Springer, 246 p.

Communications sans actes

Dolbeault J., Esteban M., Figalli A., Frank R., Loss M. (2023), A short review on Improvements and stability for some interpolation inequalities, ICIAM Congress, Professor Shin'ichi Oishi, Tokyo, Japon

Prépublications / Cahiers de recherche

Bouin E., Dolbeault J., Ziviani L. (2023), L 2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 23 p.

BRIGATI G., Dolbeault J., Simonov N. (2023), Stability for the logarithmic Sobolev inequality, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 16 p.

Brigati G., Dolbeault J., Simonov N. (2023), On Gaussian interpolation inequalities, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 23 p.

Dolbeault J., García-Huidobro M., Manásevich R. (2023), Monotonicity of the period and positive periodic solutions of a quasilinear equation, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 16 p.

Bou Dagher E., Dolbeault J. (2022), Interpolation inequalities on the sphere : rigidity, branches of solutions, and symmetry breaking, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 17 p.

Dolbeault J., Zuniga A. (2022), Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 20 p.

BONFORTE M., Dolbeault J., Nazaret B., Simonov N. (2022), Stability in Gagliardo-Nirenberg-Sobolev inequalities : flows, regularity and the entropy method, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 161 p.

Dolbeault J., Esteban M., Figalli A., Frank R., Loss M. (2022), Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 41 p.

Davila J., del Pino M., Dolbeault J., Musso M., Wei J. (2019), Infinite time blow-up in the Keller-Segel system: existence and stability, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 22 p.

Dolbeault J., Garcia-Huidobro M., Manásevich R. (2019), Interpolation inequalities in W1,p(S1) and carré du champ methods, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 19 p.

Dolbeault J., Frank R., Hoffmann F. (2018), Reverse Hardy-Littlewood-Sobolev inequalities, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 19 p.

Dolbeault J., Esteban M., Loss M. (2016), Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 9 p.

Kowalczyk M., Kinderlehrer D., Dolbeault J. (2002), The flashing ratchet: long time behavior and dynamical systems interpretation, Paris, Cahiers du CEREMADE, 19 p.

Dolbeault J. (1999), Monotonicity and symmetry of positive solutions to nonlinear elliptic equations : local moving planes and unique continuation, Cahiers du CEREMADE, 28 p.

Del Pino M., Dolbeault J. (1999), Generalized Sobolev Inequalities and Asymptotic Behaviour in Fast Diffusion and Porous Medium Problems, Paris, Cahiers du CEREMADE, 43 p.

Dolbeault J. (1999), Time-Dependent Rescalings and Dispersion for the Boltzmann Equation, Paris, Université Paris-Dauphine, 25 p.