Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems

Abstract and Applied Analysis

Volumn 7, Issue 3, 2002, Pages 155-167

  De Napoli, Pablo L ^a   Mariani, M Cristina ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041398278     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/S1085337502000829     Document Type: Article

References (11)

1. H. Amann, Lusternik-Schnirelman theory and non-linear eigenvalue problems, Math. Ann. 199 (1972), 55-72.
2. P. Bartolo, V. Benci, and D. Fortunato, Abstract critical point theorems and applications to some nonlinear problems with "strong" resonance at infinity, Nonlinear Anal. 7 (1983), no. 9, 981-1012.
3. n, Electron. J. Differential Equations 1997 (1997), 1-15.
4. L. Boccardo and D. G. de Figueiredo, Some remarks on a system of quasilinear elliptic equations, preprint, 1997, http://www.ime.unicamp.br/ relpesq/1997/rp51-97.html.
5. G. Cerami, Un criterio di esistenza per i punti critici su varieta' illimitate [An existence criterion for the critical points on unbounded manifolds], Istit. Lombardo Accad. Sci. Lett. Rend. A 112 (1978), no. 2, 332-336 (Italian).
6. M. M. Day, Some more uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), 504-507.
7. n near resonance, Proceedings of the USA-Chile Workshop on Nonlinear Analysis (Viña del Mar-Valparaiso, 2000), Southwest Texas State Univ., Texas, 2001, pp. 131-140.
8. G. Dinca, P. Jebelean, and J. Mawhin, Variational and Topological Methods for Dirichlet Problems with p-Laplacian, Recherches de mathématique, Inst. de Math. Pure et Apliquée, Univ. Cath. de Louvain, 1998.
9. A. R. El Amrouss and M. Moussaoui, Minimax principles for critical-point theory in applications to quasilinear boundary-value problems, Electron. J. Differential Equations 2000 (2000), no. 18, 1-9.
10. n, Adv. Differential Equations 2 (1997), no. 6, 981-1003.
11. J.-P. Gossez, Some remarks on the antimaximum principle, Rev. Un. Mat. Argentina 41 (1998), no. 1, 79-83.