Applications of optimal transport methods in the least gradient problem

被引：0

作者：

Gorny, Wojciech ^{[1
,2
]}

机构：

[1] Univ Vienna, Fac Math, Oskar Morgernstern Pl 1, A-1090 Vienna, Austria

[2] Univ Warsaw, Fac Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2023年 / 24卷 / 03期

关键词：

MINIMIZERS; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the consequences of the equivalence between the least gra-dient problem and a boundary-to-boundary optimal transport problem in two di-mensions. We extend the relationship between the two problems to their respec-tive dual problems, as well as prove several regularity and stability results for the least gradient problem using optimal transport techniques.

引用

页码：1817 / 1851

页数：35

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