Second order regularity for the p(x)-Laplace operator

S. Challal; A. Lyaghfouri

doi:10.1002/mana.200810285

Second order regularity for the p(x)-Laplace operator

S. Challal, A. Lyaghfouri

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

18 Citations (Scopus)

Abstract

In this paper, we establish second order regularity for the p(x)-Laplace operator. This generalizes classical results known when the function p(x) is equal to some constant p > 1.

Original language	English
Pages (from-to)	1270-1279
Number of pages	10
Journal	Mathematische Nachrichten
Volume	284
Issue number	10
DOIs	https://doi.org/10.1002/mana.200810285
Publication status	Published - Jul 2011
Externally published	Yes

Keywords

p(x)-Laplace operator
Second derivatives
Variable exponent Sobolev spaces

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1002/mana.200810285

Cite this

@article{704f1fa777434fa3893b93c27911a2ec,

title = "Second order regularity for the p(x)-Laplace operator",

abstract = "In this paper, we establish second order regularity for the p(x)-Laplace operator. This generalizes classical results known when the function p(x) is equal to some constant p > 1.",

keywords = "p(x)-Laplace operator, Second derivatives, Variable exponent Sobolev spaces",

author = "S. Challal and A. Lyaghfouri",

year = "2011",

month = jul,

doi = "10.1002/mana.200810285",

language = "English",

volume = "284",

pages = "1270--1279",

journal = "Mathematische Nachrichten",

issn = "0025-584X",

publisher = "Wiley-VCH Verlag",

number = "10",

}

TY - JOUR

T1 - Second order regularity for the p(x)-Laplace operator

AU - Challal, S.

AU - Lyaghfouri, A.

PY - 2011/7

Y1 - 2011/7

N2 - In this paper, we establish second order regularity for the p(x)-Laplace operator. This generalizes classical results known when the function p(x) is equal to some constant p > 1.

AB - In this paper, we establish second order regularity for the p(x)-Laplace operator. This generalizes classical results known when the function p(x) is equal to some constant p > 1.

KW - p(x)-Laplace operator

KW - Second derivatives

KW - Variable exponent Sobolev spaces

UR - https://www.scopus.com/pages/publications/79958841013

UR - https://www.scopus.com/inward/citedby.url?scp=79958841013&partnerID=8YFLogxK

U2 - 10.1002/mana.200810285

DO - 10.1002/mana.200810285

M3 - Article

AN - SCOPUS:79958841013

SN - 0025-584X

VL - 284

SP - 1270

EP - 1279

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 10

ER -

Second order regularity for the p(x)-Laplace operator

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this