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

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

Keywords

• Superlinear semi-positone problems
• variational methods
• fibring method.