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On the mean-value property of polyharmonic functions

Published:2010-03-01 Issue:1 Volume:47 Page:113-117
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Dalmasso Robert¹

Affiliation:

1. 1 Equipe EDP, Tour IRMA Laboratoire Jean Kuntzmann BP 53 38041 Grenoble Cedex 9 France

Abstract

We prove a converse of the mean-value property for polyharmonic functions: our result extends a theorem established by Kuran for harmonic functions.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.2009.1117

Reference10 articles.

1. The volume mean-value property of harmonic functions;Armitage D. H.;Complex Variables Theory Appl.,1990

2. Three secrets about harmonic functions;Burckel R. B.;Amer. Math. Monthly,1997

3. On the mean value property of harmonic functions and best harmonic L1-approximation;Goldstein M.;Trans. Amer. Math. Soc.,1988

4. Inverse mean value property of harmonic functions;Hansen W.;Math. Ann.,1993

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A characterization of polyharmonic functions;Acta Mathematica Hungarica;2015-09-22

2. On the mean value property for polyharmonic functions in the ball;Siberian Advances in Mathematics;2014-07

3. Riemann Boundary Value Problems for Triharmonic Functions in Clifford Analysis;Advances in Applied Clifford Algebras;2012-06-06

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