Geometric stability of the Coulomb energy
Functional Analysis
2015-10-27 v2 Mathematical Physics
math.MP
Abstract
The Coulomb energy of a charge that is uniformly distributed on some set is maximized (among sets of given volume) by balls. It is shown here that near-maximizers are close to balls.
Cite
@article{arxiv.1407.1918,
title = {Geometric stability of the Coulomb energy},
author = {Almut Burchard and Gregory R. Chambers},
journal= {arXiv preprint arXiv:1407.1918},
year = {2015}
}
Comments
12 pages. Very minor revision --- corrected typos, added acknowledgments, and u[dated references