Total variation and Cheeger sets in Gauss space

DOI10.1016/j.jfa.2010.05.007zbMath1195.49054OpenAlexW2033136343MaRDI QIDQ990157

Matteo Novaga, Michele~jun. Miranda, Vincent Caselles

Publication date: 6 September 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.05.007

zbMATH Keywords

isoperimetric problemsGaussian measuresWiener spaceCheeger sets

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Probabilistic potential theory (60J45) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (15)

Weighted Cheeger sets are domains of isoperimetry ⋮ An Overview on the Cheeger Problem ⋮ Representation, relaxation and convexity for variational problems in Wiener spaces ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ The Cheeger cut and Cheeger problem in metric measure spaces ⋮ The Cheeger problem in abstract measure spaces ⋮ Approximation and relaxation of perimeter in the Wiener space ⋮ Cheeger sets for rotationally symmetric planar convex bodies ⋮ A fractional isoperimetric problem in the Wiener space ⋮ Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants ⋮ Characterizations of sets of finite perimeter using the Ornstein-Uhlenbeck semigroup in the Gauss space ⋮ Some isoperimetric inequalities with respect to monomial weights ⋮ Minimizers of the prescribed curvature functional in a Jordan domain with no necks ⋮ \textit{BV} functions on convex domains in Wiener spaces ⋮ On the Cheeger sets in strips and non-convex domains

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