Existence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems

We consider resonance problems at an arbitrary eigenvalue of the Laplacien. We prove the existence of nontrivial solutions for some semilinear elliptic Dirichlet boundary values problems. We also obtain two nontrivial solutions by using Morse theory.

Bibliographic Details
Main Author: Abdel R. El Amrouss
Format: Article
Language:English
Published: Texas State University 2002-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/09/e1/abstr.html