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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.
@article{COCV_2020__26_1_A113_0,
author = {Fusco, Nicola and Pratelli, Aldo},
title = {Sharp stability for the {Riesz} potential},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
publisher = {EDP-Sciences},
volume = {26},
year = {2020},
doi = {10.1051/cocv/2020024},
mrnumber = {4185064},
zbl = {1473.26036},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2020024/}
}
TY - JOUR AU - Fusco, Nicola AU - Pratelli, Aldo TI - Sharp stability for the Riesz potential JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2020 VL - 26 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2020024/ DO - 10.1051/cocv/2020024 LA - en ID - COCV_2020__26_1_A113_0 ER -
%0 Journal Article %A Fusco, Nicola %A Pratelli, Aldo %T Sharp stability for the Riesz potential %J ESAIM: Control, Optimisation and Calculus of Variations %D 2020 %V 26 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2020024/ %R 10.1051/cocv/2020024 %G en %F COCV_2020__26_1_A113_0
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://geodesic.mathdoc.fr/articles/10.1051/cocv/2020024/
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