Radial Convex Solutions of Boundary Value Problems for Systems of Monge-Ampere equations

Abstract

The existence, multiplicity and nonexistence of nontrivial radial convex solutions of a system of two weakly coupled Monge-Ampere equations are established with asymptotic assumptions for an appropriately chosen parameter. The proof of the results is based on Krasnoselskii's fixed point theorem in a cone.

References in corpus (1)

• Convex Solutions of systems of Monge-Ampère equations

Cited by in corpus (1)

• On a power-type coupled system of Monge-Ampère equations