A Minkowski type inequality with free boundary in space forms

被引：0
作者：
Guo, Jinyu [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 541卷 / 02期
关键词：
Rigidity; Minkowski type inequality; Free boundary hypersurfaces; Alexandrov-Fenchel type inequality; Almost Schur lemma; CONSTANT MEAN-CURVATURE; CAPILLARY HYPERSURFACES; MINIMAL-SURFACES; REGULARITY; UNIQUENESS; EXISTENCE; STABILITY;
D O I：
10.1016/j.jmaa.2024.128727
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a Minkowski inequality for a domain supported on any totally umbilical hypersurface with free boundary in space forms. We generalize the main result in [32] into free boundary case and obtain a free boundary version of optimal weighted Minkowski inequality in space forms. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：13
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