Willmore-type inequality in unbounded convex sets

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-02-27 DOI:10.1112/jlms.70105

Xiaohan Jia, Guofang Wang, Chao Xia, Xuwen Zhang

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Abstract

In this paper, we prove the following Willmore-type inequality: on an unbounded closed convex set $K \subset R^{n + 1}$ $(n ⩾ 2$ ), for any embedded hypersurface $Σ \subset K$ with boundary $\partial Σ \subset \partial K$ satisfying a certain contact angle condition, there holds

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无界凸集中的willmore型不等式

在本文中，我们证明了以下willmore型不等式：在无界闭合凸集K∧R n + 1 $K\subset \mathbb {R}^{n+1}$ （n小于或等于2）上$(n\geqslant 2$)，对于边界∂Σ∧∂K $\partial {\Sigma }\subset \partial K$满足一定接触角条件的任何嵌入超曲面Σ∧K ${\Sigma }\subset K$，有成立

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

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.