Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 154, pp. 1-5.

Title: A characterization of balls using the domain derivative

Authors: Andriy Didenko     (The Petroleum Inst., Abu Dhabi, UAE)
         Behrouz Emamizadeh (The Petroleum Inst., Abu Dhabi, UAE)
	 
Abstract: 
 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.
 
Submitted September 28, 2006. Published December 14, 2006.
Math Subject Classifications: 35J25, 35P99.
Key Words: Domain derivative; overdetermined problems; Stekloff problem.