ℤ2-equivariant Ljusternik-Schnirelman theory for non-even functionals

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Volumn 15, Issue 3, 1998, Pages 341-370

  Ekeland, I ^a   Ghoussoub, N ^b  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011425148     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(98)80121-2     Document Type: Article

References (10)

1. A. AMBROSETTI, A perturbation theorem for superlinear boundary value problems, M. R. C. Technical Report, Vol. 1442, 1974.
2. A. AMBROSETTI and P. H. RABINOWITZ, Dual variational methods in critical point theory and applications, J. Funct. Anal., Vol. 14, 1973, pp. 349-381.
3. A. BAHRI, Topological results on a certain class of functionals and application, J.F.A., Vol. 41, 1981, pp. 397-427.
4. A. BAHRI and H. Berestycki, A perturbation method in critical point theory and applications, T.A.M.S., Vol. 267, 1981, pp. 1-32.
5. A. BAHRI and P.-L. LIONS, Morse index of some min-max critical points I. Application to multiplicity results. Commun. Pure and App. Math., Vol. 41, 1988, pp. 1027-1037.
6. N. GHOUSSOUB, Location, multiplicity and Morse indices of min-max critical points, J. Reine. und. angew. Math., Vol. 417, 1991, pp. 27-76.
7. N. GHOUSSOUB, Duality and Perturbation Methods in Critical Point Theory, Cambridge Tracts in Mathematics, Cambridge University Press, 1993.
8. L. LJUSTERNIK and L. SCHNIRELMANN, Méthodes topologiques dans les problèmes variationels, Hermann, Paris, 1934.
9. P. H. RABINOWITZ, Minimax methods in critical point theory with applications to differential equations, C.B.M.S., A.M.S., No. 65, 1986.
10. M. STRUWE, Variational methods and their applications to non-linear partial differential equations and Hamiltonian systems, Springer-Verlag, 1990.