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

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

2010-08-26

arxiv.org/abs/1008.4614v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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