| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 113 | |
| Number of page(s) | 24 | |
| DOI | https://doi.org/10.1051/cocv/2020024 | |
| Published online | 10 December 2020 | |
Sharp stability for the Riesz potential
1
Dipartimento di Matematica e Applicazioni, University of Napoli, Italy.
2
Dipartimento di Matematica, University of Pisa, Italy.
* Corresponding author: aldo.pratelli@unipi.it
Received:
25
September
2019
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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