On the generalized Cheeger problem and an application to 2d strips

DOI10.4171/RMI/934zbMath1365.49041arXiv1409.6998MaRDI QIDQ520720

Giorgio Saracco, Aldo Pratelli

Publication date: 5 April 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6998

zbMATH Keywords

Cheeger sets2d stripsCheeger problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (13)

Rigidity and trace properties of divergence-measure vector fields ⋮ Weighted Cheeger sets are domains of isoperimetry ⋮ A sufficient criterion to determine planar self-Cheeger sets ⋮ Isoperimetric sets and \(p\)-Cheeger sets are in bijection ⋮ Torsional Rigidity in Random Walk Spaces ⋮ On the honeycomb conjecture for Robin Laplacian eigenvalues ⋮ Cheeger sets for rotationally symmetric planar convex bodies ⋮ Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants ⋮ Phase field approach to optimal packing problems and related Cheeger clusters ⋮ Solution paths of variational regularization methods for inverse problems ⋮ Minimizers of the prescribed curvature functional in a Jordan domain with no necks ⋮ The isoperimetric problem in 2d domains without necks ⋮ On the Cheeger sets in strips and non-convex domains

Cites Work

• Unnamed Item
• A note on Cheeger sets
• Stability estimates for certain Faber-Krahn,isocapacitary and Cheeger inequalities
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Uniqueness of the Cheeger set of a convex body

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