Published Paper
Inserted: 5 sep 2011
Last Updated: 13 aug 2024
Journal: Adv. Math.
Year: 2013
Abstract:
Combining rearrangement techniques with Gromov’s proof (via optimal mass transportation) of the 1-Sobolev inequality, we prove a sharp quantitative version of the anisotropic Sobolev inequality on \( BV(\mathbb{R}^n) \). As a corollary of this result, we also deduce a sharp stability estimate for the anisotropic 1-log-Sobolev inequality.
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