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

2010/08/26 by Haiyan Wang, Wang, Haiyan · 1 citation
Mathematics · #34B15 #35J96 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP #math.CA #msc:34B15 #msc:35J96

paper · pdf · doi:10.48550/arxiv.1008.4614

arxiv created 2010/08/26 · openalex publication_date 2010/08/26 · arxiv updated 2010/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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