Convex Solutions of systems of Monge-Ampère equations

Details Convex Solutions of systems of Monge-Ampère equations Convex Solutions of systems of Monge-Ampère equations

2010-07-18

arxiv.org/abs/1007.3013v2

Mathematics

Analysis of PDEs

In version 2, 1/n is corrected as 1/N in Remark 1.4. All other remains the same

Scientific paper

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.

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