2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 163-172.

Existence of two nontrivial solutions for semilinear elliptic problems

Abdel R. El Amrouss, Fouzia Moradi, Mimoun Moussaoui

Abstract:
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.

Published September 20, 2006.
Math Subject Classifications: 58E05, 35J65, 56J20.
Key Words: Variational elliptic problem; resonance; critical group; Morse theory; minimax method.

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Abdelrachid El Amrouss
University Mohamed 1er, Faculty of sciences
Department of Mathematics, Oujda; Morocco
e-mail: amrouss@sciences.univ-oujda.ac.ma
  Fouzia Moradi
University Mohamed 1er, Faculty of sciences
Department of Mathematics, Oujda; Morocco
e-mail: foumoradi@yahoo.fr
  Mimoun Moussaoui
University Mohamed 1er, Faculty of sciences
Department of Mathematics, Oujda; Morocco
e-mail: moussaoui@sciences.univ-oujda.ac.ma

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