Interior C² estimate for Monge-Ampère equation in dimension two

2020/07/22 by Jiakun Liu, Liu, Jiakun · 2 citations
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2007.11297

Abstract

We obtain a genuine local C² estimate for the Monge-Ampère equation in dimension two, by using the partial Legendre transform.

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