Asymptotic mean value properties for fractional anisotropic operators

Claudia Bucur; Claudia Dalia Bucur; Marco Squassina

doi:10.1016/j.jmaa.2018.05.063

Asymptotic mean value properties for fractional anisotropic operators

Claudia Bucur, Claudia Dalia Bucur, Marco Squassina

University of Melbourne

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type limit formula for a related class of anisotropic nonlocal norms

Original language	English
Pages (from-to)	107-126
Number of pages	20
Journal	Journal of Mathematical Analysis and Applications
DOIs	https://doi.org/10.1016/j.jmaa.2018.05.063
Publication status	Published - 2018

Keywords

mean value

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10.1016/j.jmaa.2018.05.063

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@article{b0fef9a39154463180f1e0bd7cda7f64,

title = "Asymptotic mean value properties for fractional anisotropic operators",

abstract = "We obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type limit formula for a related class of anisotropic nonlocal norms",

keywords = "mean value, mean value",

author = "Claudia Bucur and Bucur, {Claudia Dalia} and Marco Squassina",

year = "2018",

doi = "10.1016/j.jmaa.2018.05.063",

language = "English",

pages = "107--126",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Asymptotic mean value properties for fractional anisotropic operators

AU - Bucur, Claudia

AU - Bucur, Claudia Dalia

AU - Squassina, Marco

PY - 2018

Y1 - 2018

N2 - We obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type limit formula for a related class of anisotropic nonlocal norms

AB - We obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type limit formula for a related class of anisotropic nonlocal norms

KW - mean value

UR - http://hdl.handle.net/10807/132119

U2 - 10.1016/j.jmaa.2018.05.063

DO - 10.1016/j.jmaa.2018.05.063

M3 - Article

SN - 0022-247X

SP - 107

EP - 126

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Asymptotic mean value properties for fractional anisotropic operators

Abstract

Keywords

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