Subharmonic functions on graphs

DOI10.1007/BF02760674zbMath0888.31004MaRDI QIDQ1366850

Marco Rigoli, Marco Vignati, Maura Salvatori

Publication date: 25 November 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

infinite graphsLiouville type theoremsdiscrete Laplacians

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Discrete potential theory (31C20)

Related Items (12)

Some Remarks on the Krein-von Neumann Extension of Different Laplacians ⋮ A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks ⋮ \(L^p\)-potentials on infinite networks ⋮ Parabolic theory of the discrete \(p\)-Laplace operator ⋮ Harmonic functions of general graph Laplacians ⋮ Inequalities forp-superharmonic functions on networks ⋮ Unnamed Item ⋮ \(L^q\) harmonic functions on graphs ⋮ Lipschitz property of harmonic function on graphs ⋮ Strongly subharmonic functions, graphs, and their asymptotic growth ⋮ Intrinsic Metrics on Graphs: A Survey ⋮ Harnack and mean value inequalities on graphs

Cites Work

• \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
• Linear growth harmonic functions on a complete manifold
• Subharmonic functions on real and complex manifolds
• Potential theory on infinite networks
• IInfinite Graphs with Nonconstant Dirichlet Finite Harmonic Functions
• Random Walks on Infinite Graphs and Groups - a Survey on Selected topics
• Rough Isometries and Dirichlet Finite Harmonic Functions on Graphs
• Harmonic functions on planar and almost planar graphs and manifolds, via circle packings
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• Unnamed Item

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