A quantitative version of the isoperimetric inequality : the anisotropic case
Esposito, Luca1 ; Fusco, Nicola2 ; Trombetti, Cristina2
1 Dipartimento di Ingegneria dell’Informazione e Matematica Applicata Via Ponte Don Melillo 84084 Fisciano (SA), Italy
2 Dipartimento di Matematica e Applicazioni Via Cintia 80126 Napoli, Italy
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 4, pp. 619-651.

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.

Classification : 52A40, 28A75
Esposito, Luca 1 ; Fusco, Nicola 2 ; Trombetti, Cristina 2

1 Dipartimento di Ingegneria dell’Informazione e Matematica Applicata Via Ponte Don Melillo 84084 Fisciano (SA), Italy
2 Dipartimento di Matematica e Applicazioni Via Cintia 80126 Napoli, Italy 
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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. http://www.numdam.org/item/ASNSP_2005_5_4_4_619_0/

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