| Issue |
ESAIM: Proc.
Volume 20, 2007
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005
|
|
|---|---|---|
| Page(s) | 53 - 62 | |
| DOI | https://doi.org/10.1051/proc:072005 | |
| Published online | 13 October 2007 | |
Existence of nontrivial solutions for quasi-linear resonant problems
Department of Mathematics, Faculty of Sciences, University Mohammed I, Oujda, Morocco
Corresponding authors: abayoujil@yahoo.fr amrouss@sciences.univ-oujda.ac.ma
Combining the minimax arguments and the Morse Theory, by computing the critical groups at zero, we establish the existence of a nontrivial solution for a class of Dirichlet boundary value problems, with resonance at infinity and zero.
Résumé
Par un procédé de minimax et application de la Théorie de Morse, en calculant les groupes critiques en zéro, nous établissons l'existence d'une solution non triviale pour une classe de problèmes de Dirichlet, avec résonance à l'infini et en zéro..
Mathematics Subject Classification: 58E05 / 35J65 / 49B27
Key words: minimax method / p-Laplacian / resonance elliptic equation / critical group / Morse theory /
© EDP Sciences, ESAIM, 2007
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