Convex Solutions of systems of Monge-Ampère equations

2010/07/18 by Haiyan Wang, Wang, Haiyan
Mathematics · #34B15 #35J96 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.AP #math.CA #msc:34B15 #msc:35J96

paper · pdf · doi:10.48550/arxiv.1007.3013

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

arxiv created 2010/10/11 · arxiv updated 2010/10/13

Abstract

The existence and multiplicity and nonexistence of nontrivial radial convex solutions of systems of Monge-Ampère 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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