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.

Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants / Julin, Vesa; Saracco, Giorgio. - In: ANNALES FENNICI MATHEMATICI. - ISSN 2737-0690. - 46:2(2021), pp. 1071-1087. [10.5186/aasfm.2021.4666]

Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

Saracco, Giorgio
2021-01-01

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.
2021
2
Julin, Vesa; Saracco, Giorgio
Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants / Julin, Vesa; Saracco, Giorgio. - In: ANNALES FENNICI MATHEMATICI. - ISSN 2737-0690. - 46:2(2021), pp. 1071-1087. [10.5186/aasfm.2021.4666]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/316265
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