Tewodros Amdeberhan
Abstract:
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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