Gevrey regularity of subelliptic Monge-Amp\`ere equations in the plane
Analysis of PDEs
2009-10-12 v1
Abstract
In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge-Amp\`ere equations in the plane, under the assumption that one principle entry of the Hessian is strictly positive and an appropriately finite type degeneracy.
Keywords
Cite
@article{arxiv.0910.1718,
title = {Gevrey regularity of subelliptic Monge-Amp\`ere equations in the plane},
author = {Hua Chen and Wei-Xi Li and Chao-Jiang Xu},
journal= {arXiv preprint arXiv:0910.1718},
year = {2009}
}
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22 pages