Heintze-Karcher Inequality for Anisotropic Free Boundary Hypersurfaces in Convex Domains

Xiaohan Jia ¹Guofang Wang ²Chao Xia ³Xuwen Zhang³

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作者信息

1. School of Mathematics,Southeast University,Nanjing 211189,China
2. Mathematisches Institut,Universität Freiburg,Ernst-Zermelo-Str.1,Freiburg 79104,Germany
3. School of Mathematical Science,Xiamen University,Xiamen 361005,China
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Abstract

In this paper,we prove an optimal Heintze-Karcher-type inequality for ani-sotropic free boundary hypersurfaces in general convex domains.The equality is achieved for anisotropic free boundary Wulff shapes in a convex cone.As applica-tions,we prove Alexandrov-type theorems in convex cones.

Key words

Heintze-Karcher's inequality/constant mean curvature/free boundary surface/capil-lary surface/convex cone

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出版年

2024

数学研究(英文)

厦门大学教学科学学院

数学研究(英文)

影响因子：0.157

ISSN：2096-9856

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