On the higher Cheeger problem

DOI10.1112/jlms.12119zbMath1394.49041arXiv1706.07282OpenAlexW2654028706WikidataQ130109996 ScholiaQ130109996MaRDI QIDQ4572060

Vladimir Bobkov, Enea Parini

Publication date: 4 July 2018

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07282

zbMATH Keywords

higher Cheeger constants

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (14)

Monotonicity properties for the variational Dirichlet eigenvalues of the \(p\)-Laplace operator ⋮ On multiplicity of eigenvalues and symmetry of eigenfunctions of the \(p\)-Laplacian ⋮ On the Cheeger problem for rotationally invariant domains ⋮ Estimates on the spectral interval of validity of the anti-maximum principle ⋮ A sufficient criterion to determine planar self-Cheeger sets ⋮ Approximation of the second eigenvalue of the \(p\)-Laplace operator in symmetric domains ⋮ Isoperimetric sets and \(p\)-Cheeger sets are in bijection ⋮ Pseudo-orthogonality for graph 1-Laplacian eigenvectors and applications to higher Cheeger constants and data clustering ⋮ The Cheeger problem in abstract measure spaces ⋮ Asymptotic behavior and monotonicity of radial eigenvalues for the \(p\)-Laplacian ⋮ Cheeger sets for rotationally symmetric planar convex bodies ⋮ The limit as $p\to 1$ of the higher eigenvalues of the $p$-Laplacian operator $\Delta_p$ ⋮ The Cheeger N-problem in terms of BV functions ⋮ Escobar constants of planar domains

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