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arXiv:1007.3013 [math.AP]AbstractReferencesReviewsResources

Convex Solutions of systems of Monge-Ampère equations

Haiyan Wang

Published 2010-07-18, updated 2010-10-11Version 2

The existence and multiplicity and nonexistence of nontrivial radial convex solutions of systems of Monge-Amp\`ere equations are established with superlinearity or sublinearity assumptions for an appropriately chosen parameter. The proof of the results is based on a fixed point theorem in a cone.

Comments: In version 2, 1/n is corrected as 1/N in Remark 1.4. All other remains the same
Categories: math.AP, math.CA
Subjects: 35J96, 34B15
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