Geodesic
Two symmetry problems in potential theory
Electronic journal of differential equations, Tome 2001 (2001)
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 
@article{EJDE_2001__2001__a54,
     author = {Amdeberhan,  Tewodros},
     title = {Two symmetry problems in potential theory},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0981.35045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a54/}
}
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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__a54/