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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