Convex solutions of boundary value problems |
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Authors: | Haiyan Wang |
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Affiliation: | Department of Mathematics, University of Central Arkansas, Conway, AR 72035, USA |
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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. |
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Keywords: | Convex solutions Monge-Ampè re equations Fixed index theorem |
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