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Convex solutions of boundary value problems
Authors:Haiyan Wang
Institution:Department of Mathematics, University of Central Arkansas, Conway, AR 72035, USA
Abstract:We establish two criteria for the existence of convex solutions for a boundary value problem arising from the study of the existence of convex radial solutions for the Monge-Ampère equations. We shall use fixed point theorems in a cone.
Keywords:Convex solutions  Monge-Ampè  re equations  Fixed index theorem
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