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B. Gidas, W.-M. Ni and L. Nirenberg, “Symmetry of Positive Solutions of Nonlinear Elliptic Equations in ,” In: Mathematical Analysis and Applications, Part A, Academic Press, New York, 1981, pp. 369-402.

has been cited by the following article:

• TITLE: Symmetric Solutions of a Nonlinear Elliptic Problem with Neumann Boundary Condition

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

  KEYWORDS: Nonlinear Boundary Value Problems; Elliptic

  JOURNAL NAME: Applied Mathematics, Vol.3 No.11, November 20, 2012

  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.