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

DOI10.1007/s11232-010-0017-3zbMath1200.35310OpenAlexW2042870547MaRDI QIDQ1956833

Farruh T. Ishankulov, Utkir A. Rozikov

Publication date: 24 September 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-010-0017-3

zbMATH Keywords

Cayley treeLaplaciangroup\(p\)-harmonic function

Mathematics Subject Classification ID

Variational methods for higher-order elliptic equations (35J35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (1)

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

Cites Work

• A description of harmonic functions via properties of the group representation of the Cayley tree.
• 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
• Fatou theorem of \(p\)-harmonic functions on trees.
• Description of \(p\)-harmonic functions on the Cayley tree
• Linear relations for \(p\)-harmonic functions
• On harmonic functions on trees

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