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

Abstract

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}.

17 pages. arXiv admin note: substantial text overlap with arXiv:1512.01147