A free boundary problem for an elliptic system

被引：8

作者：

Fotouhi, Morteza ^{[1
]}

Shahgholian, Henrik ^{[2
]}

Weiss, Georg S. ^{[3
]}

机构：

[1] Sharif Univ Technol, Dept Math Sci, Tehran, Iran

[2] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

[3] Univ Duisburg Essen, Dept Math, Essen, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 284卷

基金：

瑞典研究理事会;

关键词：

D O I：

10.1016/j.jde.2021.02.050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study solutions and the free boundary partial derivative{vertical bar u vertical bar > 0} of the sublinear system Delta u = lambda(+)(x)vertical bar u(+)vertical bar(q-1)u(+) - lambda(-)(x)vertical bar u(-)vertical bar(q-1)u(-), from a regularity point of view. For lambda +/-(x) > 0 and Holder, and 0 < q< 1, we apply the epiperimetric inequality approach and show C-1,C-ss-regularity for the free boundary at asymptotically flat points. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：126 / 155

页数：30

共 13 条

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