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arxiv: 1407.1918 · v2 · pith:4HRROS2Lnew · submitted 2014-07-08 · 🧮 math.FA · math-ph· math.MP

Geometric stability of the Coulomb energy

classification 🧮 math.FA math-phmath.MP
keywords ballscoulombenergychargeclosedistributedgeometricgiven
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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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