Real Analysis Exchange

Harmonic Singularity at Infinity in \({\mathbb R}^n\)

V. Anandam and M. Damlakhi

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Abstract

Some properties of harmonic functions defined outside a compact set in \({\mathbb R}^n\) are given. From them is deduced a generalized form of Liouville’s theorem in \({\mathbb R}^n\) which is known to be equivalent to an improved version of the classical Bôcher theorem on harmonic point singularities.

Article information

Source
Real Anal. Exchange, Volume 23, Number 2 (1999), 471-476.

Dates
First available in Project Euclid: 14 May 2012

Permanent link to this document
https://projecteuclid.org/euclid.rae/1337001359

Mathematical Reviews number (MathSciNet)
MR1639952

Zentralblatt MATH identifier
0938.31003

Subjects
Primary: 31B05: Harmonic, subharmonic, superharmonic functions

Keywords
{Bôcher theorem} {Liouville theorem}

Citation

Anandam, V.; Damlakhi, M. Harmonic Singularity at Infinity in \({\mathbb R}^n\). Real Anal. Exchange 23 (1999), no. 2, 471--476. https://projecteuclid.org/euclid.rae/1337001359


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