Positive radial solutions for a boundary value problem associated to a system of elliptic equations with semipositone nonlinearities

Abstract

In this paper we use the fixed point index theory to study the existence of positive radial solutions for a system of boundary value problems with semipositone second order elliptic equations. Some appropriate concave and convex functions are utilized to characterize coupling behaviors of our nonlinearities.

Keywords

• system of elliptic equations
• boundary value problem
• positive radial solution
• fixed point index