Second Order Regularity for the A-Laplace Operator

Samia Challal; Abdeslem Lyaghfouri

doi:10.1007/s00009-010-0053-0

Second Order Regularity for the A-Laplace Operator

Samia Challal, Abdeslem Lyaghfouri

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

6 Citations (Scopus)

Abstract

In this paper we establish second order regularity for the quasilinear elliptic equation Δ_Au = f, where Δ_A is the so called A-Laplace operator.

Original language	English
Pages (from-to)	283-296
Number of pages	14
Journal	Mediterranean Journal of Mathematics
Volume	7
Issue number	3
DOIs	https://doi.org/10.1007/s00009-010-0053-0
Publication status	Published - 2010
Externally published	Yes

Keywords

A-Laplacian
Orlicz Sobolev space
Primary 35J60
second derivative
Secondary 35J70

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-010-0053-0

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title = "Second Order Regularity for the A-Laplace Operator",

abstract = "In this paper we establish second order regularity for the quasilinear elliptic equation ΔAu = f, where ΔA is the so called A-Laplace operator.",

keywords = "A-Laplacian, Orlicz Sobolev space, Primary 35J60, second derivative, Secondary 35J70",

author = "Samia Challal and Abdeslem Lyaghfouri",

year = "2010",

doi = "10.1007/s00009-010-0053-0",

language = "English",

volume = "7",

pages = "283--296",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Birkhauser Verlag Basel",

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T1 - Second Order Regularity for the A-Laplace Operator

AU - Challal, Samia

AU - Lyaghfouri, Abdeslem

PY - 2010

Y1 - 2010

N2 - In this paper we establish second order regularity for the quasilinear elliptic equation ΔAu = f, where ΔA is the so called A-Laplace operator.

AB - In this paper we establish second order regularity for the quasilinear elliptic equation ΔAu = f, where ΔA is the so called A-Laplace operator.

KW - A-Laplacian

KW - Orlicz Sobolev space

KW - Primary 35J60

KW - second derivative

KW - Secondary 35J70

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U2 - 10.1007/s00009-010-0053-0

DO - 10.1007/s00009-010-0053-0

M3 - Article

AN - SCOPUS:77955772179

SN - 1660-5446

VL - 7

SP - 283

EP - 296

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 3

ER -

Second Order Regularity for the A-Laplace Operator

Abstract

Keywords

ASJC Scopus subject areas

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