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
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Abstract
We prove that the only domain such that there exists a solution to the following problem in , on , and , for a given constant , is the unit ball , if we assume that 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