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arXiv · 1909.11441

Sharp stability for the Riesz potential

Nicola Fusco·Aldo Pratelli
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Abstract

In this paper we show the stability of the ball as maximizer of the Riesz potential among sets of given volume. The stability is proved with sharp exponent $1/2$, and is valid for any dimension $N\geq 2$ and any power $1<\alpha<N$.

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Nicola Fusco, Aldo Pratelli. 2019-09-25. Sharp stability for the Riesz potential. https://arxiv.org/abs/1909.11441

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