Electron. J. Diff. Eqns., Vol. 2001(2001), No. 43, pp. 1-5.

Two symmetry problems in potential theory

Tewodros Amdeberhan

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.

Submitted February 13, 2001. Published June 6, 2001.
Math Subject Classifications: 35N05, 35N10.
Key Words: Overdetermined problems, maximum principles.

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Tewodros Amdeberhan
DeVry College of Technology
North Brunswick NJ 08902, USA
e-mail: amdberha@nj.devry.edu
e-mail: tewodros@math.temple.edu

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