The Cheeger constant as limit of Sobolev-type constants

DOI10.1007/S10231-023-01413-ZMaRDI QIDQ6594144

Grey Ercole

Publication date: 28 August 2024

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Cheeger constant\(p\)-Laplaciansingular problemSobolev constantsPicone's inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational problems in a geometric measure-theoretic setting (49Q20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Singular quasilinear elliptic equations and Hölder regularity
• Convexity properties of Dirichlet integrals and Picone-type inequalities
• Absolute continuity of the best Sobolev constant
• Solutions of the Cheeger problem via torsion functions
• On the selection of maximal Cheeger sets.
• On a weighted total variation minimization problem
• On a problem of Huang concerning best constants in Sobolev embeddings
• A Picone's identity for the p-Laplacian and applications
• Uniqueness of extremals for some sharp Poincaré-Sobolev constants

This page was built for publication: The Cheeger constant as limit of Sobolev-type constants

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6594144)