Electron. J. Diff. Equ., Vol. 2015 (2015), No. 41, pp. 1-13.

A critical point theorem and existence of multiple solutions for a nonlinear elliptic problem

Abdel Rachid El Amrouss, Fouad Kissi

Abstract:
In this article, we show the existence of multiple nontrivial solutions to a Dirichlet problem for the p-Laplacian. Our approach is based on a abstract critical point theorem.

Submitted June 19, 2013. Published February 12, 2015.
Math Subject Classifications: 35A15, 37B30.
Key Words: p-Laplacian; variational method; critical group; Morse theory.

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Abdel Rachid El Amrouss
University Mohamed I, Faculty of sciences
Department of Mathematics
Oujda, Morocco
email: elamrouss@hotmail.com
Fouad Kissi
University Mohamed I, Faculty of sciences
Department of Mathematics
Oujda, Morocco
email: kissifouad@hotmail.com

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