A sufficient criterion to determine planar self-Cheeger sets

zbMath1483.49054arXiv1906.12101MaRDI QIDQ5026411

Giorgio Saracco

Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/1906.12101

zbMATH Keywords

Cheeger constantprescribed mean curvatureperimeter minimizerinner Cheeger formulainterior rolling disk propertyself-Cheeger setsstrict interior rolling disk property

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (6)

Isoperimetric sets and \(p\)-Cheeger sets are in bijection ⋮ Unbounded periodic constant mean curvature graphs on calibrable Cheeger Serrin domains ⋮ Cheeger sets for rotationally symmetric planar convex bodies ⋮ Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants ⋮ Dimensional lower bounds for contact surfaces of Cheeger sets ⋮ The isoperimetric problem in 2d domains without necks

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