Electronic Journal of Differential Equations,
Conference 06 (2001), pp. 267-283.

Title: Nontrivial solutions for noncooperative elliptic systems at resonance.

Authors: Elves A. B. Silva (Univ. de Brasilia, Brasilia, Brazil)
 
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
  condition.

Published January 8, 2001.
Math Subject Classifications: 35J65, 58E05.
Key Words: Noncooperative systems; variational methods; resonant problem.