The overdetermined problem in space forms
Organizers
Speaker
Mingxuan Yang
Time
Tuesday, December 5, 2023 11:30 AM - 4:30 PM
Venue
A3-4-301
Online
Zoom 435 529 7909
(BIMSA)
Abstract
The study of overdetermined problems was initially motivated by specific problems in mathematical physics. However, it has evolved into a rich field of mathematical research at the intersection of analysis and geometry. In this talk, we consider overdetermined problems for a class of fully nonlinear equations with constant Dirichlet boundary conditions in a bounded domain in space forms. It is proven that if the domain is star-shaped or the Dirichlet boundary condition is restricted, then the solution to the Hessian quotient overdetermined problem is radially symmetric. This talk is based on the recent joint works with Prof. Hui Ma, Dr. Shanze Gao.