On the higher Cheeger problem
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Publication:4572060
DOI10.1112/jlms.12119zbMath1394.49041arXiv1706.07282OpenAlexW2654028706WikidataQ130109996 ScholiaQ130109996MaRDI QIDQ4572060
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
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)
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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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