Asymptotic mean value properties of meta- and panharmonic functions

DOI10.1007/s10958-021-05611-zzbMath1477.35076arXiv2109.02579OpenAlexW3208192711MaRDI QIDQ2246243

Yanyan Li

Publication date: 16 November 2021

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

Full work available at URL: https://arxiv.org/abs/2109.02579

zbMATH Keywords

mean value properties of solutions\(m\)-dimensional Helmholtz equation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

On relations between harmonic and panharmonic functions ⋮ Panharmonic functions: mean value properties and related topics

Cites Work

• Mean value properties of solutions to the Helmholtz and modified Helmholtz equations
• Mean value properties of harmonic functions and related topics (a survey)
• Yukawan potential theory
• Harmonic Function Theory
• Metaharmonic functions: Mean flux theorem, its converse and related properties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic mean value properties of meta- and panharmonic functions