Geodesic
A characterization of balls using the domain derivative
Electronic journal of differential equations, Tome 2006 (2006)
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 
@article{EJDE_2006__2006__a151,
     author = {Didenko,  Andriy and Emamizadeh,  Behrouz},
     title = {A characterization of balls using the domain derivative},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1128.35311},
     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/