Sharp stability for the Riesz potential
ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 113.

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.

DOI : 10.1051/cocv/2020024
Classification : 49J40, 49K40, 26D20
Mots-clés : Sharp inequalities, Riesz inequalities, Optimality conditions 
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     url = {http://www.numdam.org/articles/10.1051/cocv/2020024/}
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Fusco, Nicola; Pratelli, Aldo. Sharp stability for the Riesz potential. ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 113. doi : 10.1051/cocv/2020024. http://www.numdam.org/articles/10.1051/cocv/2020024/

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