Volume 26, 2020
|Number of page(s)||24|
|Published online||10 December 2020|
Sharp stability for the Riesz potential
Dipartimento di Matematica e Applicazioni, University of Napoli, Italy.
2 Dipartimento di Matematica, University of Pisa, Italy.
* Corresponding author: email@example.com
Accepted: 27 April 2020
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.
Mathematics Subject Classification: 49J40 / 49K40 / 26D20
Key words: Sharp inequalities / Riesz inequalities / Optimality conditions
© EDP Sciences, SMAI 2020
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