Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 117, pp. 1-15.

Title: Subcritical perturbations of resonant linear problems
       with sign-changing potential
       
Author: Teodora-Liliana Dinu (Fratii Buzesti College, Romania)

Abstract: 
 We establish  existence and multiplicity theorems for a
 Dirichlet boundary-value problem at resonance. This problem
 is a nonlinear subcritical perturbation of a linear eigenvalue
 problem studied by Cuesta, and includes a sign-changing potential.
 We obtain solutions using the Mountain Pass lemma and the
 Saddle Point theorem. Our paper extends some recent results of 
 Goncalves, Miyagaki, and Ma.
  
Submitted September 28, 2005. Published October 24, 2005.
Math Subject Classifications: 35A15, 35J60, 35P30, 58E05.
Key Words: Eigenvalue problem; semilinear elliptic equation;
           existence result; critical point.