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. 551–564DOI 10.1016/J.ANIHPC.2011.03.005