Radial Convex Solutions of a Singular Dirichlet Problem with the Mean Curvature Operator in Minkowski Space

Abstract

In this paper, we study the existence of nontrivial radial convex solutions of a singular Dirichlet problem involving the mean curvature operator in Minkowski space. The proof is based on a well-known fixed point theorem in cones. We deal with more general nonlinear term than those in the literature.