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arXiv · 2003.10930

Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

Vesa Julin·Giorgio Saracco
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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.

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Vesa Julin, Giorgio Saracco. 2020-03-24. Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants. https://doi.org/10.5186/aasfm.2021.4666

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