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
收藏
页码：1657 / 1667
页数：11
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