On the mean value property for polyharmonic functions in the ball

DOI10.3103/S1055134414030031zbMath1340.31010OpenAlexW2085351747MaRDI QIDQ2945817

Valery V. Karachik

Publication date: 14 September 2015

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134414030031

zbMATH Keywords

polyharmonic functionmean value propertynormal derivatives on the sphere

Mathematics Subject Classification ID

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

Related Items (10)

Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation ⋮ Solving a problem of Robin type for biharmonic equation ⋮ Generalized third boundary value problem for the biharmonic equation ⋮ Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball ⋮ Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball ⋮ Class of Neumann-type problems for the polyharmonic equation in a ball ⋮ A Neumann-type problem for the biharmonic equation ⋮ SOLVABILITY CONDITIONS OF THE N2 NEUMANN-TYPE PROBLEM FOR POLYHARMONIC EQUATION IN A BALL ⋮ Mean value properties of harmonic functions and related topics (a survey) ⋮ On One Mathematical Model Described by Boundary Value Problem for the Biharmonic Equation

Cites Work

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• On some special polynomials and functions
• Construction of polynomial solutions to some boundary value problems for Poisson’s equation
• On the mean-value property of polyharmonic functions
• On one representation of analytic functions by harmonic functions
• On some special polynomials

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