科研论文 - 王 立周
论文标题 | A note on an overdetermined system with mean curvature, |
作者 | Wang Lizhou, Wang Tinting |
发表/完成日期 | 2012-03-09 |
期刊名称 | to appear in J. Math. Anal. Appl., 2012. |
期卷 | |
相关文章 | |
论文简介 | 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. |