Electronic Journal of Differential Equations,
Conference 06 (2001), pp. 155-171.

Title: Double resonant problems which are locally non-quadratic at infinity.

Authors: Marcelo F. Furtado (Univ. de Brasilia, Brazil) 
  Elves A. B. Silva (Univ. de Brasilia, Brazil)
 
Abstract: 
  We establish the existence of a nontrivial solution for a double 
  resonant elliptic problem under a local non-quadraticity condition 
  at infinity and pointwise limits. We also study the existence 
  of a nonzero  solution when there is resonance at the first eigenvalue.
  The first result is obtained as an application of  an 
  abstract theorem that establishes the existence of a nontrivial 
  critical point for functionals of class $C^2$ on real Hilbert spaces.

Published January 8, 2001.
Math Subject Classifications: 35J65, 58E05.
Key Words: Resonance; non-quadratic at infinity; Morse index.