Stability of Serrin's overdetermined problem via an energy functional in nearly spherical domains

：杨明轩（中科院数学与系统科学学院）
：2025-07-21 11:00
：海韵园行政楼C610

【学术报告】Stability of Serrin's overdetermined problem via an energy functional in nearly spherical domains

报 告 人：杨明轩（中科院数学与系统科学学院）

时  间：2025年7月21日11:00

地  点：海韵园行政楼C610

内容摘要:

Serrin's overdetermined theorem states that a C^2 bounded domain, which admits a function with constant Laplacian that satisfies both constant Dirichlet and Neumann boundary conditions, must be a ball. In this talk, we discuss its quantitative stability. We study the energy functional originally introduced by Choulli and Henrot for Serrin's overdetermined problem. By establishing a lower bound for the energy deficit between \Omega and B_1, we obtain a refined stability estimate for Serrin's overdetermined problem under C^{3,\gamma}-nearly spherical assumption.

个人简介：

杨明轩，中科院数学与系统科学学院博士后。主要研究方向为微分几何与几何分析，相关论文发表在CVPDE 和 Nonlinear Anal-Theor上，主持博士后面上项目。

 

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