2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 249-254. 

Title: Existence of non-negative solutions for nonlinear equations 
       in the semi-positone case

Authors: Naji Yebari  (Univ. Abdelmalek Essaadi, Tetouan, Maroc)
         Abderrahim Zertiti (Univ. Abdelmalek Essaadi, Tetouan, Maroc)
 
Abstract: 
 Using the fibring method we prove the existence of non-negative
 solution of the p-Laplacian boundary value problem
 $-\Delta_pu=\lambda f(u)$, for any  $\lambda >0$ on any regular
 bounded domain of  $\mathbb{R}^N$, in the special case
 $f(t)=t^q-1$.

Published September 20, 2006.
Math Subject Classifications: 35J65, 35J25.
Key Words: Superlinear semi-positone problems; variational methods;
           fibring method.