The overdetermined problem in space forms
演讲者
杨明轩
时间
2023年12月05日 11:30 至 16:30
地点
A3-4-301
线上
Zoom 435 529 7909
(BIMSA)
摘要
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.