Rough isometries and \(p\)-harmonic functions with finite Dirichlet integral
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Publication:1325216
DOI10.4171/RMI/148zbMath0797.31008MaRDI QIDQ1325216
Publication date: 19 October 1994
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/39457
Degenerate elliptic equations (35J70) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potential theory on Riemannian manifolds and other spaces (31C12)
Related Items (20)
Trace and density results on regular trees ⋮ Solutions of elliptic equations on manifolds with roughly Euclidean ends ⋮ Large-scale conformal rigidity in dimension three ⋮ \(p\)-harmonic functions on graphs and manifolds ⋮ Classification of metric measure spaces and their ends using p-harmonic functions ⋮ Stability of p‐parabolicity under quasi‐isometries ⋮ Parabolicity on graphs ⋮ The connectivity at infinity of a manifold and \(L^{q, p}\)-Sobolev inequalities ⋮ Distributional limits of Riemannian manifolds and graphs with sublinear genus growth ⋮ A sharp \(L^q\)-Liouville theorem for \(p\)-harmonic functions ⋮ Dirichlet finite harmonic functions and points at infinity of graphs and manifolds ⋮ The \(p\)-harmonic boundary for quasi-isometric graphs and manifolds ⋮ Rough isometry and \(p\)-harmonic boundaries of complete Riemannian manifolds ⋮ The first \(L^{p}\)-cohomology of some finitely generated groups and \(p\)-harmonic functions ⋮ Conformal mapping in linear time ⋮ Stability of the volume growth rate under quasi-isometries ⋮ Unnamed Item ⋮ On \(p\)-parabolicity of Riemannian manifolds and graphs ⋮ Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds ⋮ Liouville type theorems for mappings with bounded (co)-distortion
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