Symmetric Solutions of a Nonlinear Elliptic Problem with Neumann Boundary Condition

Ana Magnolia Marin Ramirez, Ruben Dario Ortiz Ortiz, Joel Arturo Rodriguez Ceballos

Group of Waves, Program of Mathematics, Faculty of Exact and Natural Sciences, Cartagena University, Cartagena de Indias, Co-lombia.
Morelia Institute of Technology, Morelia, Mexico.

DOI: 10.4236/am.2012.311233                

Abstract

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.

Keywords

Nonlinear Boundary Value Problems; Elliptic

Conflicts of Interest

The authors declare no conflicts of interest.

References

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