Thin one-phase almost minimizers

被引：8
|
作者：
De Silva, D. [1 ]
Savin, O. [2 ]
机构：
[1] Columbia Univ, Barnard Coll, Dept Math, New York, NY 10027 USA
[2] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 193卷 / 193期
关键词：
FLAT FREE-BOUNDARIES; REGULARITY;
D O I：
10.1016/j.na.2019.04.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider almost minimizers to the thin-one phase energy functional and we prove optimal regularity of the solution and partial regularity of the free boundary. We recover the theory for energy minimizers developed in De Silva and Roquejoffre (2012) and De Silva and Savin (2015). Our methods are based on a noninfinitesimal notion of viscosity solutions we introduced in De Silva and Savin (2018). (C) 2019 Elsevier Ltd. All rights reserved.
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页数：23
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