Gevrey regularity of subelliptic Monge-Ampère equations in the plane

Details Gevrey regularity of subelliptic Monge-Ampère equations in the plane Gevrey regularity of subelliptic Monge-Ampère equations in the plane

2009-10-09

arxiv.org/abs/0910.1718v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

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.

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