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 N.
Sharp stability for the Riesz potential / Fusco, N.; Pratelli, A.. - In: ESAIM. COCV. - ISSN 1292-8119. - 26:art. 113(2020), pp. 1-24. [10.1051/cocv/2020024]
Sharp stability for the Riesz potential
N. Fusco;
2020
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 N.File in questo prodotto:
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