Convex Solutions of systems of Monge-Amp\`ere equations
Analysis of PDEs
2010-10-13 v2 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.1007.3013,
title = {Convex Solutions of systems of Monge-Amp\`ere equations},
author = {Haiyan Wang},
journal= {arXiv preprint arXiv:1007.3013},
year = {2010}
}
Comments
In version 2, 1/n is corrected as 1/N in Remark 1.4. All other remains the same