Date:

2025-04-30

Title of Paper:

A note on an overdetermined system with mean curvature,

Journal:

to appear in J. Math. Anal. Appl., 2012.

Summary:

Abstract:
Let $Omega$ be a bounded simply connected domain in $
l^n$ with   connected boundary of class $C^2$. We show that, if there exist $n$  functions satisfying some overdetermined system with boundary conditions involving mean curvature of $partialOmega$,  then $Omega$ is a ball. The proof is based on the maximum principle and Serrin's theorem.

Co-author:

Wang Lizhou, Wang Tinting

Translation or Not:

No

Date of Publication:

2012-03-09