On the N-Cheeger problem for component-wise increasing norms

Saracco, Giorgio; Stefani, Giorgio

doi:10.1016/j.matpur.2024.06.008

Journal de Mathématiques Pures et Appliquées

2024

DOI: 10.1016/j.matpur.2024.06.008

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On the N-Cheeger problem for component-wise increasing norms

Giorgio Saracco,

Giorgio Stefani

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2025

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Cited by 2 publications

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Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions

Froyland,

Rock

2025

Applied and Computational Harmonic Analysis

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Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions

Froyland,

Rock

2025

Applied and Computational Harmonic Analysis

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The Cheeger problem in abstract measure spaces

Franceschi,

Pinamonti,

Saracco

et al. 2023

Journal of London Math Soc

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We consider nonnegative ‐finite measure spaces coupled with a proper functional that plays the role of a perimeter. We introduce the Cheeger problem in this framework and extend many classical results on the Cheeger constant and on Cheeger sets to this setting, requiring minimal assumptions on the pair measure space perimeter. Throughout the paper, the measure space will never be asked to be metric, at most topological, and this requires the introduction of a suitable notion of Sobolev spaces, induced by the coarea formula with the given perimeter.

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On the N-Cheeger problem for component-wise increasing norms

Cited by 2 publications

References 30 publications

Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions

Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions

The Cheeger problem in abstract measure spaces

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