Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations

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• 作者：Genqian Liu
• 关键词：Nonlinear equation ; Overdetermined problem ; Radial symmetry
• 刊名：Nonlinear Analysis
• 出版年：2010
• 出版时间：1 June 2010
• 年：2010
• 卷：72
• 期：11
• 页码：3943-3952
• 全文大小：309 K

文摘

We prove the radial symmetry of the solutions of second-order nonlinear elliptic equations for overdetermined Dirichlet and Neumann boundary value problems. In addition, a global uniqueness theorem of Holmgren type is given for nonlinear elliptic equations.