论文期刊

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   
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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.