arXiv:1008.4614 Abstract | arXiv Analytics

arXiv:1008.4614 [math.AP]Abstract References Reviews Resources

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

Published 2010-08-26Version 1

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.

Categories: math.AP, math.CA

Subjects: 35J96, 34B15

Keywords: boundary value problems, nontrivial radial convex solutions, krasnoselskiis fixed point theorem, weakly coupled monge-ampere equations, asymptotic assumptions

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