Alexandrov's Theorem and Serrin's Problem: Weak Solutions and Quantitative Stability
Time: 2024-10-17
Published By: He Liu
Speaker(s): Zhang Yi(AMSS, Chinese Academy of Sciences)
Time: 16:00-17:00 October 21, 2024
Venue: Siyuan Lecture Hall, Zhihua Building
The Alexandrov theorem states that, any compact hypersurface embedded in \mathbb R^n with constant mean curvature is necessarily a sphere. Meanwhile, Serrin's problem concerns a class of overdetermined issues within the framework of partial differential equations. In this talk, we discuss about the relations between these two theorems, highlighting recent developments in their weak formulations and exploring the quantitative stability results.
