On the mean value property for polyharmonic functions

DOI10.1007/S10474-011-0138-7zbMath1249.31006OpenAlexW2083574180MaRDI QIDQ653973

Grzegorz Łysik

Publication date: 20 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0138-7

zbMATH Keywords

polyharmonic functionmean-valuePizzetti formula

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (5)

A characterization of polyharmonic functions ⋮ On polyharmonic polynomials ⋮ A characterization of real analytic functions ⋮ Mean-value properties of real analytic functions ⋮ A Dirichlet type problem for complex polyharmonic functions

Cites Work

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• Mean-values and polyharmonic polynomials
• Regular solids and harmonic polynomials
• Sur les valers moyennes des fonctions
• Mean Value Theorem for Polyharmonic Functions
• An extension of the Pizzetti formula for polyharmonic functions

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