ANISOTROPIC OVERDETERMINED PROBLEM WITH CAPILLARY BOUNDARY CONDITION IN A HALF-SPACE

被引：0

作者：

Guo, Jinyu ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2025年 / 153卷 / 04期

基金：

中国博士后科学基金;

关键词：

Anisotropic overdetermined problem; Wulff shape; anisotropic capil- lary angle; in a half-space; SYMMETRY;

D O I：

10.1090/proc/17121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a Serrin-type anisotropic overdetermined problem with anisotropic capillary boundary in a half-space ]I8n+. We prove that a domain on which this partially anisotropic overdetermined problem admits a solution if and only if the domain is a truncated Wulff ball intersecting partial derivative]I8n + with constant anisotropic capillary angle, which generalizes the isotropic results of Jia-Lu-Xia-Zhang [Calc. Var. Partial Differential Equations 63 (2024), 23 pp.].

引用

页码：1657 / 1667

页数：11

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