The Steklov problem on triangle-tiling graphs in the hyperbolic plane

DOI10.1007/s12220-023-01208-xOpenAlexW4322625369MaRDI QIDQ2690664

Léonard Tschanz

Publication date: 17 March 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04941

zbMATH Keywords

spectral geometrySteklov problemdiscrete Steklov problemgraphs with boundary

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other groups related to topology or analysis (20F38) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Some recent developments on the Steklov eigenvalue problem

Cites Work

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• Isoperimetric control of the Steklov spectrum
• First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs
• Geometric group theory. An introduction
• Lower bounds for the first eigenvalue of the Steklov problem on graphs
• Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems
• Upper bounds for Steklov eigenvalues of subgraphs of polynomial growth Cayley graphs
• Upper bounds for the Steklov eigenvalues on trees
• The Steklov spectrum and coarse discretizations of manifolds with boundary
• Foundations of Hyperbolic Manifolds

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