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CONVEX SOLUTIONS OF SYSTEMS ARISING FROM MONGE-AMPÈRE EQUATIONS

By Haiyan Wang

Abstract

We establish two criteria for the existence of convex solutions to a boundary value problem for weakly coupled systems arising from the Monge-Ampère equations. We shall use fixed point theorems in a cone

Topics: Key words and phrases, Convex solutions, Monge-Ampère equations, cone
Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.417.3666
Provided by: CiteSeerX
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