Least gradient problem with respect to a non-strictly convex norm

被引：2

作者：

Gorily, Wojciech ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 200卷

关键词：

Least gradient problem; Non-strict convexity; Anisotropy; EXISTENCE; MINIMIZERS;

D O I：

10.1016/j.na.2020.112049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the planar least gradient problem with respect to an anisotropic norm for continuous boundary data. We prove existence of minimizers for strictly convex domains. Furthermore, we inspect the issue of uniqueness and regularity of minimizers only in terms of the modes of convexity of the norm and the domain. The results are independent from the regularity of the norm. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：26

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