Symmetric Solutions of a Nonlinear Elliptic Problem with Neumann Boundary Condition

• 作者: Ana Magnolia Marin Ramirez Joel Arturo Rodriguez Ceballos Ruben Dario Ortiz Ortiz
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NONLINEAR BOUNDARY VALUE PROBLEMS ELLIPTIC
• 年，卷（期）: 2012,（11）
• 页码范围: 1686-1688
• 页数: 3页
• 分类号: O1

摘要

We show a result of symmetry for a big class of problems with condition of Neumann on the boundary in the case one dimensional. We use the method of reflection of Alexandrov and we show one application of this method and the maximum principle for elliptic operators in problems with conditions of Neumann. Some results of symmetry for elliptic problems with condition of Neumann on the boundary may be extended to elliptic operators more general than the Laplacian.