Boundary regularity for anisotropic minimal Lipschitz graphs

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2023-12-20 DOI:10.1080/03605302.2023.2294335

Antonio De Rosa, Reinaldo Resende

引用次数: 0

Abstract

We prove that m-dimensional Lipschitz graphs in any codimension with C1,α boundary and anisotropic mean curvature bounded in Lp, p > m, are regular at every boundary point with density bounded abov...

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各向异性最小 Lipschitz 图形的边界正则性

我们证明，具有C1,α边界且各向异性平均曲率以Lp为界（p > m）的任意码元的m维李普西茨图，在每个边界点上都是正则的，其密度以Lp为界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.