2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 125-133.

Nontrivial solutions for nonlinear elliptic problems via Morse theory

Abdesslem Ayoujil, Abdel R. El Amrouss

We prove the existence of nontrivial solutions for perturbations of p-Laplacian. Our approach combine minimax arguments and Morse Theory, under the conditions on the behaviors of the perturbed function $f(x,t)$ or its primitive $F(x,t)$ near infinity and near zero.

Published September 20, 2006.
Math Subject Classifications: 58E05, 35J65, 49B27.
Key Words: Minimax method; p-Laplacian; resonance elliptic equation; critical group; Morse theory.

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Abdesslem Ayoujil
University Mohamed I, Faculty of Sciences
Department of Mathematics, Oujda, Morocco
email: abayoujil@yahoo.fr
Abdelrachid El Amrouss
University Mohamed I, Faculty of sciences
Department of Mathematics, Oujda, Morocco
e-mail: amrouss@sciences.univ-oujda.ac.ma

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