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
收藏
页码：1817 / 1851
页数：35
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