2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 249-254.

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

Naji Yebari, Abderrahim Zertiti

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.

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Naji Yebari
Département de Mathématiques
Université Abdelmalek Essaadi
B. P. 2121, Tetouan, Maroc
email: nyebari@hotmail.com, nyebari@fst.ac.ma
Abderrahim Zertiti
Département de Mathématiques
Université Abdelmalek Essaadi
B. P. 2121, Tetouan, Maroc
email: zertiti@fst.ac.ma

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