Mean value properties of harmonic functions and related topics (a survey)
Analysis of PDEs
2019-05-23 v2 Mathematical Physics
math.MP
Abstract
Results involving various mean value properties are reviewed for harmonic, biharmonic and metaharmonic functions. It is also considered how the standard mean value property can be weakened to imply harmonicity and belonging to other classes of functions.
Keywords
Cite
@article{arxiv.1904.08312,
title = {Mean value properties of harmonic functions and related topics (a survey)},
author = {Nikolay Kuznetsov},
journal= {arXiv preprint arXiv:1904.08312},
year = {2019}
}
Comments
21 pages