The first eigenvalue of the Laplacian, isoperimetric constants, and the max flow min cut theorem

DOI10.1007/s00013-005-1623-4zbMath1105.35062arXivmath/0506243OpenAlexW2963461152MaRDI QIDQ2502305

Daniel Grieser

Publication date: 12 September 2006

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506243

zbMATH Keywords

Cheeger constantfundamental frequencyBonnesen inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Geometric constructions in real or complex geometry (51M15)

Related Items (13)

An Overview on the Cheeger Problem ⋮ Positive Solutions for the p-Laplacian and Bounds for its First Eigenvalue ⋮ The Cheeger cut and Cheeger problem in metric graphs ⋮ The Cheeger cut and Cheeger problem in metric measure spaces ⋮ The Cheeger problem in abstract measure spaces ⋮ The Cheeger constant of curved tubes ⋮ Maximum Flows and Minimum Cuts in the Plane ⋮ Solutions of the Cheeger problem via torsion functions ⋮ Uniqueness of the Cheeger set of a convex body ⋮ Intermediate Hamiltonian via Glazman's splitting and analytic perturbation for meromorphic matrix‐functions ⋮ Maximum flows and minimum cuts in the plane ⋮ Some remarks on uniqueness and regularity of Cheeger sets ⋮ Nonlocal perimeter, curvature and minimal surfaces for measurable sets

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