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.
@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},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 4},
number = {4},
year = {2005},
pages = {619-651},
zbl = {1170.52300},
mrnumber = {2207737},
language = {en},
url = {http://www.numdam.org/item/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, Serie 5, Volume 4 (2005) no. 4, pp. 619-651. http://www.numdam.org/item/ASNSP_2005_5_4_4_619_0/
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