We state and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if is a set with small anisotropic isoperimetric deficit, then is “close” to the Wulff shape set.
Esposito, Luca 1 ; Fusco, Nicola 2 ; Trombetti, Cristina 2
@article{ASNSP_2005_5_4_4_619_0,
author = {Esposito, Luca and Fusco, Nicola and Trombetti, Cristina},
title = {A quantitative version of the isoperimetric inequality : the anisotropic case},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {619--651},
year = {2005},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 4},
number = {4},
mrnumber = {2207737},
zbl = {1170.52300},
language = {en},
url = {https://www.numdam.org/item/ASNSP_2005_5_4_4_619_0/}
}
TY - JOUR AU - Esposito, Luca AU - Fusco, Nicola AU - Trombetti, Cristina TI - A quantitative version of the isoperimetric inequality : the anisotropic case JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2005 SP - 619 EP - 651 VL - 4 IS - 4 PB - Scuola Normale Superiore, Pisa UR - https://www.numdam.org/item/ASNSP_2005_5_4_4_619_0/ LA - en ID - ASNSP_2005_5_4_4_619_0 ER -
%0 Journal Article %A Esposito, Luca %A Fusco, Nicola %A Trombetti, Cristina %T A quantitative version of the isoperimetric inequality : the anisotropic case %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2005 %P 619-651 %V 4 %N 4 %I Scuola Normale Superiore, Pisa %U https://www.numdam.org/item/ASNSP_2005_5_4_4_619_0/ %G en %F ASNSP_2005_5_4_4_619_0
Esposito, Luca; Fusco, Nicola; Trombetti, Cristina. A quantitative version of the isoperimetric inequality : the anisotropic case. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 4, pp. 619-651. https://www.numdam.org/item/ASNSP_2005_5_4_4_619_0/
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