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

摘要

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