On shape optimization and the Pompeiu problem
Optimization and Control
2007-05-23 v1 Classical Analysis and ODEs
Abstract
The Pompeiu problem is considered as shape optimization problem. We show stability of the ball which is the minimum point of related domain functional. The proof is based on shape derivative method. Stability of the ball for general domain functionals invariant under the rigid motions is discussed.
Cite
@article{arxiv.math/0012077,
title = {On shape optimization and the Pompeiu problem},
author = {Arunas Grigelionis},
journal= {arXiv preprint arXiv:math/0012077},
year = {2007}
}
Comments
12 pages, 3 figures