College of Liberal Arts & Sciences

# Differential Geometry Seminar

Speaker:

Biao Ma

Topic:

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

Location:

Online (See URL)

Calendar Category:

Seminar

Seminar Category:

Differential Geometry