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Gevrey regularity of subelliptic Monge-Amp\`ere equations in the plane (2009)

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.. Comment: 22 pages

Publication details
Download http://arxiv.org/abs/0910.1718
Repository arXiv (United States)
Keywords Mathematics - Analysis of PDEs, 35B65, 35H20
Type text