Radial Convex Solutions of Boundary Value Problems for Systems of Monge-Ampere equations
Analysis of PDEs
2010-08-30 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1008.4614,
title = {Radial Convex Solutions of Boundary Value Problems for Systems of Monge-Ampere equations},
author = {Haiyan Wang},
journal= {arXiv preprint arXiv:1008.4614},
year = {2010}
}