A local symmetry result for linear elliptic problems with solutions changing sign

  • B. Canuto

    Conicet and Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Esmeralda 2043, Florida (1602), P.cia de Buenos Aires, Argentina

Abstract

We prove that the only domain Ω such that there exists a solution to the following problem in Ω, on ∂Ω, and , for a given constant c, is the unit ball , if we assume that Ω lies in an appropriate class of Lipschitz domains.

Cite this article

B. Canuto, A local symmetry result for linear elliptic problems with solutions changing sign. Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), no. 4, pp. 551–564

DOI 10.1016/J.ANIHPC.2011.03.005