Sharp stability for the Riesz potential

2019/09/25 by Nicola Fusco, Fusco, Nicola, Aldo Pratelli +1 · 1 citation
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1909.11441

arxiv created 2019/09/25 · arxiv updated 2019/09/26

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≥ 2 and any power 1<α<N.

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