Removable sets for a-harmonic functions

Samia Challal; Abdeslem Lyaghfouri

doi:10.4171/ZAA/1442

Removable sets for a-harmonic functions

Samia Challal
, Abdeslem Lyaghfouri

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We establish in this paper that sets of m-Hausdorff measure zero are removable for C⁰,^α A-harmonic functions with m depending only on n, α and A.

Original language	English
Pages (from-to)	421-433
Number of pages	13
Journal	Zeitschrift für Analysis und ihre Anwendungen
Volume	30
Issue number	4
DOIs	https://doi.org/10.4171/ZAA/1442
Publication status	Published - 2011
Externally published	Yes

Keywords

A-Laplacian
Hausdorff measure
Hölder continuity
Orlicz Sobolev spaces
Removable sets

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.4171/ZAA/1442

Cite this

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title = "Removable sets for a-harmonic functions",

abstract = "We establish in this paper that sets of m-Hausdorff measure zero are removable for C0,α A-harmonic functions with m depending only on n, α and A.",

keywords = "A-Laplacian, Hausdorff measure, H{\"o}lder continuity, Orlicz Sobolev spaces, Removable sets",

author = "Samia Challal and Abdeslem Lyaghfouri",

year = "2011",

doi = "10.4171/ZAA/1442",

language = "English",

volume = "30",

pages = "421--433",

journal = "Zeitschrift f{\"u}r Analysis und ihre Anwendungen",

issn = "0232-2064",

publisher = "European Mathematical Society Publishing House",

number = "4",

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T1 - Removable sets for a-harmonic functions

AU - Challal, Samia

AU - Lyaghfouri, Abdeslem

PY - 2011

Y1 - 2011

N2 - We establish in this paper that sets of m-Hausdorff measure zero are removable for C0,α A-harmonic functions with m depending only on n, α and A.

AB - We establish in this paper that sets of m-Hausdorff measure zero are removable for C0,α A-harmonic functions with m depending only on n, α and A.

KW - A-Laplacian

KW - Hausdorff measure

KW - Hölder continuity

KW - Orlicz Sobolev spaces

KW - Removable sets

UR - https://www.scopus.com/pages/publications/82055184175

UR - https://www.scopus.com/pages/publications/82055184175#tab=citedBy

U2 - 10.4171/ZAA/1442

DO - 10.4171/ZAA/1442

M3 - Article

AN - SCOPUS:82055184175

SN - 0232-2064

VL - 30

SP - 421

EP - 433

JO - Zeitschrift für Analysis und ihre Anwendungen

JF - Zeitschrift für Analysis und ihre Anwendungen

IS - 4

ER -

Removable sets for a-harmonic functions

Abstract

Keywords

ASJC Scopus subject areas

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