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A quantitative version of the isoperimetric inequality: The anisotropic case

Annali della Scuola Normale - Classe di Scienze (2005) 4(4) 619-651
DOI: 10.2422/2036-2145.2005.4.04
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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.

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Esposito, L., Fusco, N., & Trombetti, C. (2005). A quantitative version of the isoperimetric inequality: The anisotropic case. Annali Della Scuola Normale - Classe Di Scienze, 4(4), 619–651. https://doi.org/10.2422/2036-2145.2005.4.04

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