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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