The Cheeger N-problem in terms of BV functions

zbMath1417.49060arXiv1707.01703MaRDI QIDQ4628612

Samuel Littig, Marco Caroccia

Publication date: 14 March 2019

Full work available at URL: https://arxiv.org/abs/1707.01703

zbMATH Keywords

optimal partitionshape optimizationCheeger-N-problemeigenvalue problem of the 1-Laplace operatorsecond eigenvalue of the 1-Laplace operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items

A sufficient criterion to determine planar self-Cheeger sets ⋮ Isoperimetric sets and \(p\)-Cheeger sets are in bijection ⋮ The Cheeger problem in abstract measure spaces

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