Minimax theorems on C1 manifolds via Ekeland variational principle

Abstract and Applied Analysis

Volumn 2003, Issue 13, 2003, Pages 757-768

  Cuesta, Mabel ^a  

^a UNIVERSITÉ DU LITTORAL CÔTE D OPALE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842449626     PISSN: 10853375     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1085337503303100     Document Type: Article

References (16)

1. A. Ambrosetti and G. Prodi, A Primer of Nonlinear Analysis, Cambridge Studies in Advanced Mathematics, vol. 34, Cambridge University Press, Cambridge, 1993.
2. M. Arias, J. Campos, M. Cuesta, and J.-P. Gossez, Asymmetric elliptic problems with indefinite weights, Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002), no. 5, 581-616.
3. 1 manifold, Manuscripta Math. 81 (1993), no. 3-4, 339-359.
4. 1 -manifold], C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), no. 12, 1263-1269 (French).
5. H. Brézis and L. Nirenberg, Remarks on finding critical points, Comm. Pure Appl. Math. 44 (1991), no. 8-9, 939-963.
6. H. Brézis, L. Nirenberg, and G. Stampacchia, A remark on Ky Fan's minimax principle, Boll. Un. Mat. Ital. (4) 6 (1972), 293-300.
7. J.-N. Corvellec, M. Degiovanni, and M. Marzocchi, Deformation properties for continuons functionals and critical point theory, Topol. Methods Nonlinear Anal. 1 (1993), no. 1, 151-171.
8. M. Cuesta, D. G. de Figueiredo, and J.-P. Gossez, The beginning of the Fučik spectrum for the p-Laplacian, J. Differential Equations 159 (1999), no. 1, 212-238.
9. D. G. de Figueiredo, Lectures on the Ekeland Variational Principle with Applications and Detours, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 81, Springer-Verlag, Bombay, 1989.
10. J. Diestel, Geometry of Danach Spaces - Selected Topics, Lecture Notes in Mathematics, vol. 485, Springer-Verlag, Berlin, 1975.
11. P. Drábekand S. B. Robinson, Resonance problems for the p-Laplacian, J. Funct. Anal. 169 (1999), no. 1, 189-200.
12. I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974), no. 2, 324-353.
13. N. Ghoussoub, Duality and Perturbation Methods in Critical Point Theory, Cambridge Tracts in Mathematics, vol. 107, Cambridge University Press, Cambridge, 1993.
14. J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Applied Mathematical Sciences, vol. 74, Springer-Verlag, New York, 1989.
15. M. Struwe, Variational Methods. Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems, Springer-Verlag, Berlin, 1990.
16. 1-manifolds, Ann. Inst. H. Poincaré Anal. Non Linéaire 5 (1988), no. 2, 119-139.