Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R^{n}

Abstract

In this paper, we obtain sufficient conditions for the existence of a unique nonnegative continuous solution of semipositone semilinear elliptic problem in bounded domains of \(\mathbb{R}^n\) (\(n\geq 2\)). The global behavior of this solution is also given.

Keywords

• nonnegative solution
• semipositone
• kato class
• fixed point theorem