Continuity for the Monge Mass Transfer Problem in Two Dimensions

被引：0

作者：

Qi-Rui Li

Filippo Santambrogio

Xu-Jia Wang

机构：

[1] Australian National University,Centre for Mathematics and Its Applications

[2] Univ. Paris-Sud,Laboratoire de Mathématiques d’Orsay

[3] CNRS,undefined

[4] Université Paris-Saclay,undefined

来源：

Archive for Rational Mechanics and Analysis | 2019年 / 231卷

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学科分类号：

摘要：

In this paper, we prove the continuity of the monotone optimal mapping of the Monge mass transfer problem in two dimensions under certain conditions on the domains and the mass distributions.

引用

页码：1045 / 1071

页数：26

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