Description of periodic \(p\)-harmonic functions on Cayley tree

DOI10.1007/s00030-009-0045-6zbMath1188.31004arXiv0803.0804OpenAlexW2000673510MaRDI QIDQ969597

Farruh T. Ishankulov, Utkir A. Rozikov

Publication date: 7 May 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0804

zbMATH Keywords

Cayley tree\(p\)-harmonic function

Mathematics Subject Classification ID

Trees (05C05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Discrete version of topics in analysis (39A12)

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Cites Work

• A description of harmonic functions via properties of the group representation of the Cayley tree.
• Parabolic and hyperbolic infinite networks
• Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
• Partition structures of the group representation of the Cayley tree into cosets by finite-index normal subgroups and their applications to the description of periodic Gibbs distributions
• Potential theory on infinite networks
• Tangential boundary behaviour of harmonic functions on trees
• Countably periodic Gibbs measures of the Ising model on the Cayley tree
• Fatou theorem of \(p\)-harmonic functions on trees.
• Linear relations for \(p\)-harmonic functions
• On harmonic functions on trees
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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