The \(p\)-harmonic boundary for quasi-isometric graphs and manifolds

DOI10.1216/RMJ-2012-42-5-1615zbMath1257.31008arXiv1002.1061OpenAlexW2962834409MaRDI QIDQ691516

Michael J. Puls

Publication date: 3 December 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1061

zbMATH Keywords

netsRiemannian manifoldsquasi-isometry\(p\)-harmonic function\(p\)-harmonic boundaryuniformly bounded graphs

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Discrete potential theory (31C20) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Potential theory on Riemannian manifolds and other spaces (31C12)

Cites Work

• Unnamed Item
• Graphs of bounded degree and the \(p\)-harmonic boundary
• Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
• Rough isometries and the parabolicity of Riemannian manifolds
• Rough isometries and \(p\)-harmonic functions with finite Dirichlet integral
• \(p\)-harmonic functions on graphs and manifolds
• Rough isometry and \(p\)-harmonic boundaries of complete Riemannian manifolds

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