Inverse mean value properties (a survey)

DOI10.1007/s10958-022-05816-wzbMath1494.31011arXiv2203.10601OpenAlexW4229049919MaRDI QIDQ2139226

Yanyan Li

Publication date: 17 May 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.10601

zbMATH Keywords

harmonic functionsmean values identities

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (3)

Inverse mean value property of metaharmonic functions ⋮ On mean values of solutions to differential equations ⋮ ``Potato kugel for nuclear forces and a small one for acoustic waves

Cites Work

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• Potato Kugel
• A harmonic quadrature formula characterizing bi-infinite cylinders
• Corrigendum: ``Inverse mean value property of harmonic functions
• Mean value properties of solutions to the Helmholtz and modified Helmholtz equations
• Characterization of balls via solutions of the modified Helmholtz equation
• Yukawan potential theory
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• Harmonic Function Theory
• Quadrature and Harmonic L 1 -Approximation in Annuli
• A converse of the mean value theorem for harmonic functions
• Quadrature and Harmonic Approximation of Subharmonic Functions in Strips
• Duality theorems in some overdetermined boundary value problems
• The Growth of the Hyperplane Mean of a Subharmonic Function
• Symmetry in an Overdetermined Fourth Order Elliptic Boundary Value Problem
• The volume mean-value property of harmonic functions
• Characterization of Shell Domains by Quadrature Identities
• Differentiation with Respect to the Domain in Boundary Value Problems
• On the Inverse mean value Property of Harmonic Functions on Strips
• A characterization of annular domains by quadrature identities
• Inverse mean value property of solutions to the modified Helmholtz equation
• Metaharmonic functions: Mean flux theorem, its converse and related properties
• Research Problems in Function Theory
• A harmonic quadrature formula characterizing open strips
• A Mean Value Theorem for the Heat Equation
• On the Mean-Value Property of Harmonic Functions

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