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

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10.1002/mana.200810285

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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",

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language = "English",

volume = "284",

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AU - Lyaghfouri, A.

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KW - p(x)-Laplace operator

KW - Second derivatives

KW - Variable exponent Sobolev spaces

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JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 10

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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