A note on an overdetermined system involving mean curvature

作者：Wang Lizhou^*; Wang Tingting

来源：Journal of Mathematical Analysis and Applications, 2012, 393(2): 489-492.

DOI：10.1016/j.jmaa.2012.04.029

• Overdetermined problem
• Maximum principle
• Serrin's theorem

Let Omega be a bounded simply connected domain in R-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 partial derivative Omega, then Omega is a ball. The proof is based on the maximum principle and Serrin's theorem.

• 出版日期2012-9-15
• 单位西安交通大学