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