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arXiv · 1008.4614

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

Haiyan Wang
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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.

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Haiyan Wang. 2010-08-26. Radial Convex Solutions of Boundary Value Problems for Systems of Monge-Ampere equations. https://arxiv.org/abs/1008.4614

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