Radially symmetric convex solutions for Dirichlet problems of Monge-Ampere equations

摘要

In this paper, we study the existence of radially symmetric convex solutions for Dirichlet problems of Monge-Ampere equations. By applying a well-known fixed point theorem in cones, we shall establish several new criteria for the existence of nontrivial radially symmetric convex solutions for the systems of Monge-Ampere equations with or without an eigenvalue parameter. Copyright (c) 2015 John Wiley & Sons, Ltd.