Boundary Holder Gradient Estimates for the Monge-Ampere Equation

被引：1

作者：

Savin, Ovidiu

Zhang, Qian

机构：

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2020年 / 30卷 / 02期

关键词：

Gradient estimates; Boundary regularity; Monge-Ampere equation; REGULARITY;

D O I：

10.1007/s12220-020-00354-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate global Holder gradient estimates for solutions to the Monge-Ampere equation det D(2)u = f in Omega, where the right-hand side f is bounded away from 0 and infinity. We consider two main situations when (a) the domain Omega is uniformly convex and (b) Omega is flat.

引用

页码：2010 / 2035

页数：26

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