6533b831fe1ef96bd129861b

RESEARCH PRODUCT

Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

Vesa JulinGiorgio Maria Saracco

subject

Gaussianmedia_common.quotation_subject01 natural sciencesUpper and lower boundsAsymmetryOmegaCombinatoricsSet (abstract data type)Cheeger sets; Cheeger constant; quantitative inequalitiessymbols.namesakeMathematics - Analysis of PDEsEuclidean geometryFOS: MathematicsMathematics::Metric Geometry0101 mathematicsepäyhtälötMathematicsmedia_common49Q10 49Q20 39B62osittaisdifferentiaaliyhtälöt010102 general mathematicsCheeger constantCheeger setsArticlesCheeger constant (graph theory)010101 applied mathematicssymbolsquantitative inequalitiesAnalysis of PDEs (math.AP)

description

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.

yearjournalcountryeditionlanguage
2020-03-24Annales Fennici Mathematici
https://afm.journal.fi/article/view/111063