Elves A. B. Silva
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 |
Universidade de Brasilia
70910 Brasilia, DF Brazil
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