V. Julin - G. Saracco

Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

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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• Cheeger-quantitative-pp.pdf