On relations between harmonic and panharmonic functions

DOI10.1007/s10958-022-06154-7OpenAlexW4308072671MaRDI QIDQ6187999

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Publication date: 1 February 2024

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

Full work available at URL: https://doi.org/10.1007/s10958-022-06154-7

zbMATH Keywords

harmonic functionspanharmonic functions

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15)

Cites Work

• Multidimensional weakly singular integral equations
• On the characterization of harmonic and subharmonic functions via mean-value properties
• Elliptic partial differential equations of second order
• Mean value properties of solutions to the Helmholtz and modified Helmholtz equations
• Characterization of balls via solutions of the modified Helmholtz equation
• Asymptotic mean value properties of meta- and panharmonic functions
• Mean value properties of harmonic functions and related topics (a survey)
• Yukawan potential theory
• Symmetry in an Overdetermined Fourth Order Elliptic Boundary Value Problem
• Inverse mean value property of solutions to the modified Helmholtz equation
• Metaharmonic functions: Mean flux theorem, its converse and related properties
• Mean-Values and Harmonic Polynomials
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