(Non)uniqueness of minimizers in the least gradient problem

被引：11

作者：

Gorny, Wojciech ^{[1
]}

机构：

[1] Univ Warsaw, Fac Math Informat & Mech, Warsaw, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 468卷 / 02期

关键词：

Least gradient problem; Minimal surfaces; Convex but non-strictly convex domains;

D O I：

10.1016/j.jmaa.2018.08.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Minimizers in the least gradient problem with discontinuous boundary data need not be unique. However, all of them have a similar structure of level sets. Here, we give a full characterization of the set of minimizers in terms of any one of them and discuss stability properties of an approximate problem. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：913 / 938

页数：26

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