Two symmetry problems in potential theory
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider two overdetermined boundary value problems as variants on J. Serrin's 1971 classical results and prove in both cases that the domains must be Euclidean balls.
Classification : 35N05, 35N10
Keywords: overdetermined problems, maximum principles
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     author = {Amdeberhan, Tewodros},
     title = {Two symmetry problems in potential theory},
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     year = {2001},
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     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a210/}
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Amdeberhan, Tewodros. Two symmetry problems in potential theory. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a210/