2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 125-133. 

Title: Nontrivial solutions for nonlinear elliptic problems via
       Morse theory

Authors: Abdesslem Ayoujil   (Univ. Mohamed 1er, Oujda, Morocco)
         Abdel R. El Amrouss (Univ. Mohamed 1er, Oujda, Morocco)
 
Abstract: 
 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.