Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking

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

Volumn 13, Issue 1, 1996, Pages 95-115

  Alama, S ^a   Del pino, M ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS;

DIRICHLET PROBLEM; ELLIPTIC EQUATION; LINKING; MINIMAX METHOD; MORSE THEORY; NONLINEARITY; SUPERLINEAR FUNCTION;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0030375718     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(16)30098-1     Document Type: Article

References (20)

1. S. Alama G. Tarantello On semilinear elliptic equations with indefinite nonlinearities Calc. of Var. and P. D. E. Vol. 1 1993 439 475
2. S. Alama and G. Tarantello, On the solvability of a semilinear elliptic equation via an associated eigenvalue problem, to appear in Math . Z.
3. S. Alama and G. Tarantello, Elliptic problems with nonlinearities indefinite in sign, preprint, 1994.
4. V. Benci P. Rabinowitz Critical point theorems for indefinite functionals Invent. Math. Vol. 52 1979 241 273
5. H. Berestycki I. Capuzzo-Dolcetta L. Nirenberg Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires C. R. Acad. Sci. Paris t. 317 Série I 1993 945 950
6. H. Berestycki, I. Capuzzo-Dolcetta and L. Nirenberg, Variational methods for indefinite superlinear homogeneous elliptic problems, preprint, May 1994.
7. H. Berestycki, I. Capuzzo-Dolcetta and L. Nirenberg, Superlinear indefinite elliptic problems and nonlinear Liouville theorems, preprint, 1994.
8. 1 minimizers C. R. Acad. Sci. Paris t. 317 Série I 1993 465 572
9. K.C. Chang Infinite Dimensional Morse Theory and Multiple Solution Problems 1993 Birkhäuser Boston
10. 1 isolated critical points C. R. Acad. Sci. Paris t. 319 Série I 1994 441 446
11. M. Del Pino and P. Felmer, Multiple solutions for a semilinear elliptic equation, preprint, 1992.
12. J.F. Escobar R.M. Schoen Conformai metrics with prescribed scalar curvature Invent. Math. Vol. 86 1986 243 254
13. H. Hofer A Note on the Topological Degree at a Critical Point of Mountainpass-type Proc. Am. Math. Soc. Vol. 90 1984 309 315
14. J. Kazdan F. Warner Scalar curvature and the conformal deformation of Riemannian structure J. Diff. Geom. Vol. 10 1975 113 134
15. J. Mawhin M. Willem Critical Point Theory and Hamiltonian Systems 1989 Springer New York
16. p = 0 on compact manifolds, Part II Indiana Univ. Math. J. Vol. 40 1992 1083 1140
17. P. Rabinowitz “Minimax Methods in Critical Point Theory with Applications to Differential Equations,” CBMS-NSF Vol. 65 1986 American Math. Soc. Providence
18. M. Struwe Variational Methods 1990 Springer-Verlag Berlin
19. H. Tehrani, Ph.D. thesis , New York Univ., 1994.
20. Z.Q. Wang On a superlinear elliptic equation Ann. Inst. H. Poincaré– Analyse Non lin. Vol. 8 1991 43 57