# Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

created by saracco on 24 Mar 2020
modified on 25 Mar 2020

[BibTeX]

Submitted Paper

Inserted: 24 mar 2020
Last Updated: 25 mar 2020

Pages: 18
Year: 2020

ArXiv: 2003.10930 PDF

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.