中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
几何分析研讨班
Speaker: 国金宇 讲师（福建师范大学）
Inviter: 杨明轩
Language: 中文
Title: The stability of higher-order capillary hypersurfaces
Time & Venue：2026年08月17日上午9:00-10:00 ZoomID：843-640-477
Abstract: In this talk, we propose a new definition of stable higher-order capillary hypersurfaces from variational perspective. More precisely, we define stable higher-order capillary hypersurfaces to be smooth local minimizers of a new energy functional under volume-preserving and contact angle-preserving variations. Using this new concept of stable higher-order capillary hypersurfaces, we generalize the stability results of Souam (2023) in a Euclidean half-space, and Guo, Wang and Xia (2022) in a horoball in hyperbolic space for capillary hypersurfaces to the higher-order capillary hypersurface case. This is joint work with Prof. Haizhong Li and Prof. Chao Xia.
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