Existence of two nontrivial solutions for semilinear elliptic problems

This paper concerns the existence of multiple nontrivial solutions for some nonlinear problems. The first nontrivial solution is found using a minimax method, and the second by computing the Leray-Schauder index and the critical group near 0.

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Bibliographic Details
Published in:Electronic journal of differential equations 2006-09, Vol.Conference (14), p.163-172
Main Authors: Abdel R. El Amrouss, Fouzia Moradi, Mimoun Moussaoui
Format: Article
Language:English
Subjects:
critical group
minimax method
Morse theory
resonance
Variational elliptic problem
Online Access:Get full text
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Description
Summary:This paper concerns the existence of multiple nontrivial solutions for some nonlinear problems. The first nontrivial solution is found using a minimax method, and the second by computing the Leray-Schauder index and the critical group near 0.
ISSN:1072-6691