English

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

Analysis of PDEs 2016-10-12 v2

Abstract

In this paper, we introduce a new auxiliary function, and establish the interior C2C^2 estimate for Monge-Ampere equation in dimension n=2n =2, which was firstly proved by Heinz \cite{H59}.

Keywords

Cite

@article{arxiv.1512.01146,
  title  = {The interior $C^2$ estimate for Monge-Ampere equation in dimension $n=2$},
  author = {Chuanqiang Chen and Fei Han and Qianzhong Ou},
  journal= {arXiv preprint arXiv:1512.01146},
  year   = {2016}
}

Comments

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