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arXiv · 1407.1918

Geometric stability of the Coulomb energy

Almut Burchard·Gregory R. Chambers
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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.

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Almut Burchard, Gregory R. Chambers. 2014-07-08. Geometric stability of the Coulomb energy. https://doi.org/10.1007/s00526-015-0900-8

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