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.

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Published in:Electronic journal of differential equations 2002-12, Vol.Conference (9), p.93-106
Main Author: Abdel R. El Amrouss
Format: Article
Language:English
Subjects:
critical group
minimax method
Morse theory
resonance
Variational elliptic problem
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description 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.
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ispartof Electronic journal of differential equations, 2002-12, Vol.Conference (9), p.93-106
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language eng
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subjects critical group
minimax method
Morse theory
resonance
Variational elliptic problem
title Existence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems
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