2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco. Electronic Journal of Differential Equations, Conference 14 (2006), pp. 163-172. Title: Existence of two nontrivial solutions for semilinear elliptic problems Authors: Abdel R. El Amrouss (Univ. Mohamed 1er, Oujda, Morocco) Fouzia Moradi (Univ. Mohamed 1er, Oujda, Morocco) Mimoun Moussaoui (Univ. Mohamed 1er, Oujda, Morocco) 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.