The interior $C^2$ estimate for Monge-Ampere equation in dimension $n=2$

Chuanqiang Chen; Fei Han; Qianzhong Ou

arxiv: 1512.01146 · v2 · pith:BYUYFQBBnew · submitted 2015-12-02 · 🧮 math.AP

The interior C² estimate for Monge-Ampere equation in dimension n=2

Chuanqiang Chen , Fei Han , Qianzhong Ou This is my paper

classification 🧮 math.AP

keywords dimensionequationestimateinteriormonge-ampereauxiliaryciteestablish

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In this paper, we introduce a new auxiliary function, and establish the interior $C^2$ estimate for Monge-Ampere equation in dimension $n =2$, which was firstly proved by Heinz \cite{H59}.

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The interior C² estimate for Monge-Ampere equation in dimension n=2

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