Submitted Paper
Inserted: 24 mar 2020
Last Updated: 25 mar 2020
Pages: 18
Year: 2020
Abstract:
We provide a quantitative lower bound to the Cheeger constant of a set $\Omega$ in both the Euclidean and the Gaussian settings in terms of suitable asymmetry indexes. We provide examples which show that these quantitative estimates are sharp.
Keywords: Cheeger sets, Cheeger constant, quantitative inequalities
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