Publications by Ivar Ekeland:
Ekeland's variational principle and applications


1. "Remarques sur les problèmes variationnels", Note CRAS Paris 275 (1972), p.1057-1059


2. "Remarques sur les problèmes variationnels II"Note CRAS Paris 276 (1973), p.1347-1349.


3 "On the variational principle", J. Math. An. and App. 47 (1974), p.324-353 [pdf]


4. (avec G. Lebourg) "Sous-gradients approchés et applications", Note CRAS Paris 281 (1975), p.219-222.


5.  (avec G. Lebourg) "Generic Fréchet-differentiability and perturbed optimization problems in Banach spaces", Trans. AMS 224 (1976), p.193-216. [pdf]

6. "Le théorème de Hopf-Rinow en dimension infinie"Note CRAS Paris 284 (1977), p.149-150


7. "The Hopf-Rinow theorem in infinite dimension", J. Diff. Geometry 13 (1978), p.287-301 [pdf]


8. "Problèmes variationnels non convexes"Proc. International Congress Math., Helsinki 1978, p.855-858


9. "Nonconvex minimization problems", Bull. AMS 1 (New Series) (1979) p. 443-474 [pdf]


10. "Some lemmas on dynamical systems", Math. Scan. 52 (1983), p.262-268 [pdf]

11. (avec J. Scheinkman) "Transversality conditions for some infinite horizon optimization problems", Math. of Operations Research 11 (1986), p.216-229


12.
"An inverse function theorem in Fréchet spaces"  28 (2011), Annales de l'Institut Henri Poincaré, Analyse Non Linéaire, p. 91–105   (pdf)


13
(avec E. Séré)  "An implicit function theorem for non-smooth maps between Fréchet spaces",   https://arxiv.org/abs/1502.01561  March 2014 (see here for a version with figures)


14.
(with Eric Séré) "A surjection theorem for singular perturbations with loss of derivatives", to appear, Journal of the European Mathematical Society,
https://arxiv.org/pdf/1811.07568.pdf



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