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

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 $f(t)=t^q-1$.

Bibliographic Details
Main Authors: Naji Yebari, Abderrahim Zertiti
Format: Article
Language:English
Published: Texas State University 2006-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/14/y2/abstr.html