Calculus of Variations and Geometric Measure Theory
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V. Julin - G. Saracco

Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

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


Submitted Paper

Inserted: 24 mar 2020
Last Updated: 25 mar 2020

Pages: 18
Year: 2020

ArXiv: 2003.10930 PDF


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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