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A stability result for Riesz potentials in higher dimensions

Published 22 Jul 2020 in math.FA | (2007.11664v1)

Abstract: We prove a stability estimate, with the optimal quadratic error term, for the Coulomb energy of a set in $\mathbb{R}n$ with $n \geq 3$. This estimate extends to a range of Riesz potentials.

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