Differential Geometry Seminar

Biao Ma
An isoperimetric inequality and an overdetermined elliptic equation

We study a conformal isoperimetric inequality proved by Hang-Wang-Yan 09. The maximizer of the isoperimetric quotient is given by an integral equation. We proved that a solution to HWY's integral equation is equivalent to solve a Serrin type overdetermined equation. We proposed an eigenvalue problem resemble the Steklov eigenvalue problem which is related to HWY's inequality.

Event Date: 
September 2, 2021 - 1:00pm to 1:50pm
Online (See URL)
Calendar Category: 
Seminar Category: 
Differential Geometry