A Gradient Bound for Free Boundary Graphs

被引：12

作者：

De Silva, Daniela ^{[1
]}

Jerison, David ^{[2
]}

机构：

[1] Columbia Univ, Barnard Coll, Dept Math, New York, NY 10027 USA

[2] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2011年 / 64卷 / 04期

关键词：

REGULARITY; INEQUALITY; EXISTENCE; EQUATIONS;

D O I：

10.1002/cpa.20354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an analogue for a one-phase free boundary problem of the classical gradient bound for solutions to the minimal surface equation. It follows, in particular, that every energy-minimizing free boundary that is a graph is also smooth. The method we use also leads to a new proof of the classical minimal surface gradient bound. (C) 2010 Wiley Periodicals, Inc.

引用

页码：538 / 555

页数：18

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