In this note we give a characterization of balls in
using the domain derivative. As a byproduct we will show
that an overdetermined Stekloff eigenvalue problem is
solvable if and only if the domain of interest is a ball.
Andriy Didenko, Behrouz Emamizadeh
Abstract:
In this note we give a characterization of balls in
using the domain derivative. As a byproduct we will show
that an overdetermined Stekloff eigenvalue problem is
solvable if and only if the domain of interest is a ball.
Submitted September 28, 2006. Published December 14, 2006.
Math Subject Classifications: 35J25, 35P99.
Key Words: Domain derivative; overdetermined problems; Stekloff problem.
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Andriy Didenko Department of Mathematics The Petroleum Institute P.O. Box 2533 Abu Dhabi, UAE email: adidenko@pi.ac.ae |
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Behrouz Emamizadeh Department of Mathematics The Petroleum Institute P.O. Box 2533 Abu Dhabi, UAE email: bemamizadeh@pi.ac.ae |
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