Geometric stability of the Coulomb energy
arXiv:1407.1918 · doi:10.1007/s00526-015-0900-8
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.
12 pages. Very minor revision --- corrected typos, added acknowledgments, and u[dated references