USA-Chile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 267-283.

Nontrivial solutions for noncooperative elliptic systems at resonance

Elves A. B. Silva

Abstract:
In this article we establish the existence of a nonzero solution for variational noncooperative elliptic systems under Dirichlet boundary conditions and a resonant condition at infinity. Situations where the problem is nonresonant and resonant at the origin are considered. The results are based on a version of a critical point theorem for strongly indefinite functionals which are asymptotically quadratic at infinity and do not satisfy any Palais-Smale type

Published Janaury 8, 2001.
Math Subject Classifications: 35J65, 58E05.
Key Words: Noncooperative systems, Variational Methods, Resonant problem.

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Elves A. B. Silva
Dpto. Matematica
Universidade de Brasilia
70910 Brasilia, DF Brazil
e-mail: elves@mat.unb.br

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