Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

Authors

  • Vesa Julin University of Jyväskylä, Department of Mathematics and Statistics
  • Giorgio Saracco Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Keywords:

Cheeger sets, Cheeger constant, quantitative inequalities

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.

 

Issue
Vol. 46 No. 2 (2021)
Section
Articles

Published

2021-08-31

How to Cite

Julin, V., & Saracco, G. (2021). Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants. Annales Fennici Mathematici, 46(2), 1071–1087. Retrieved from https://afm.journal.fi/article/view/111063

Copyright (c) 2021 The Finnish Mathematical Society

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