Geodesic
A characterization of balls using the domain derivative
Electronic Journal of Differential Equations, Tome 2006 (2006).

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

Summary: In this note we give a characterization of balls in $\mathbb{R}^N$ 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.
Classification : 35J25, 35P99
Keywords: domain derivative, overdetermined problems, stekloff problem 
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     author = {Didenko, Andriy and Emamizadeh, Behrouz},
     title = {A characterization of balls using the domain derivative},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a151/}
}
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Didenko, Andriy; Emamizadeh, Behrouz. A characterization of balls using the domain derivative. Electronic Journal of Differential Equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a151/