A quantitative version of the isoperimetric inequality : the anisotropic case

Esposito, Luca; Fusco, Nicola; Trombetti, Cristina

Esposito, Luca ; Fusco, Nicola ; Trombetti, Cristina

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Volume 4 (2005) no. 4, p. 619-651

Abstract

We state and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if

E

is a set with small anisotropic isoperimetric deficit, then

E

is “close” to the Wulff shape set.

MR 2207737 | Zbl 1170.52300

Classification: 52A40, 28A75

@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, Série 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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