Liouville theorem for bounded harmonic functions on manifolds and graphs satisfying non-negative curvature dimension condition

DOI10.1007/s00526-019-1485-4zbMath1409.31005arXiv1702.00961OpenAlexW2962765741MaRDI QIDQ1725716

Bobo Hua

Publication date: 14 February 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00961

zbMATH Keywords

bounded harmonic functionsLiouville theoremgraphsweighted manifolds

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Random walks on graphs (05C81)

Related Items (9)

Buser's inequality on infinite graphs ⋮ Time analyticity for the heat equation and Navier-Stokes equations ⋮ Sparse expanders have negative curvature ⋮ Self‐adjoint and Markovian extensions of infinite quantum graphs ⋮ Liouville theorem for \(V\)-harmonic maps under non-negative \((m, V)\)-Ricci curvature for non-positive \(m\) ⋮ Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates ⋮ A note on time analyticity for ancient solutions of the heat equation ⋮ Li-Yau inequality for unbounded Laplacian on graphs ⋮ Bakry-Émery curvature on graphs as an eigenvalue problem

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