Some remarks on uniqueness and regularity of Cheeger sets

DOI10.4171/RSMUP/123-9zbMath1198.49042OpenAlexW2046459368MaRDI QIDQ991587

Matteo Novaga, Vincent Caselles, Antonin Chambolle

Publication date: 7 September 2010

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/242646

zbMATH Keywords

Cheeger setmaximal and minimal Cheeger setsregularity of Cheeger sets

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60)

Related Items (21)

Anisotropic mean curvature on facets and relations with capillarity ⋮ An Overview on the Cheeger Problem ⋮ On a degenerate problem in the calculus of variations ⋮ Optimal Cheeger cuts and bisections of random geometric graphs ⋮ On the Cheeger problem for rotationally invariant domains ⋮ The second eigenvalue of the \(p\)-Laplacian as \(p\) goes to 1 ⋮ Inner-Cheeger Opening and Applications ⋮ Critical Yield Numbers of Rigid Particles Settling in Bingham Fluids and Cheeger Sets ⋮ Existence and Symmetry results for some overdetermined free boundary problems ⋮ Isoperimetric sets and \(p\)-Cheeger sets are in bijection ⋮ Morrey spaces and generalized Cheeger sets ⋮ The first eigenvalue of the \(p-\)Laplacian on quantum graphs ⋮ The Normalized Graph Cut and Cheeger Constant: From Discrete to Continuous ⋮ Cheeger sets for rotationally symmetric planar convex bodies ⋮ Occupational measures and averaged shape optimization ⋮ Total variation and Cheeger sets in Gauss space ⋮ Theoretical Analysis of Flows Estimating Eigenfunctions of One-Homogeneous Functionals ⋮ Dimensional lower bounds for contact surfaces of Cheeger sets ⋮ Shape derivative of the Cheeger constant ⋮ The isoperimetric problem in 2d domains without necks ⋮ On the Cheeger sets in strips and non-convex domains

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