Lipschitz property of harmonic function on graphs

DOI10.1016/j.jmaa.2009.12.037zbMath1185.31005OpenAlexW2066022617MaRDI QIDQ961066

Yong Lin, Li-Feng Xi

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.037

zbMATH Keywords

Laplace operatorLipschitz propertyharmonic function on graphs

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items

Harmonic functions of general graph Laplacians, Polynomial growth harmonic functions on finitely generated Abelian groups, Unnamed Item, \(L^q\) harmonic functions on graphs, Harnack and mean value inequalities on graphs

Cites Work

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• Potential theory on infinite networks
• Subharmonic functions on graphs
• Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces
• Ricci curvature and eigenvalue estimate on locally finite graphs
• Differential equations on riemannian manifolds and their geometric applications
• Harmonic functions on Alexandrov spaces and their applications