L p(x)(Ω)-estimates of vector fields and some applications to magnetostatics problems

B. Cekic; A. V. Kalinin; R. A. Mashiyev; M. Avci

doi:10.1016/j.jmaa.2011.12.029

L ^p(x)(Ω)-estimates of vector fields and some applications to magnetostatics problems

B. Cekic
, A. V. Kalinin
, R. A. Mashiyev
, M. Avci

Centre for Science

Dicle University
Lobachevsky State University of Nizhni Novgorod

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

30 Citations (Scopus)

Abstract

In the present paper, we investigate Hölder-type norm inequalities in terms of div and curl of the vector-valued functions in variable exponent Lebesgue spaces L ^p(x)(Ω), where Ω⊂R{double-struck} ³. Moreover, by using the obtained results we give some applications for magnetostatics problems.

Original language	English
Pages (from-to)	838-851
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	389
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2011.12.029 https://doi.org/10.1016/j.jmaa.2011.12.029
Publication status	Published - 15 May 2012

Keywords

Div-curl estimates
Hölder-type inequalities
Magnetostatics problems
Variable exponent Lebesgue spaces

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title = "L p(x)(Ω)-estimates of vector fields and some applications to magnetostatics problems",

abstract = "In the present paper, we investigate H{\"o}lder-type norm inequalities in terms of div and curl of the vector-valued functions in variable exponent Lebesgue spaces L p(x)(Ω), where Ω⊂R\{double-struck\} 3. Moreover, by using the obtained results we give some applications for magnetostatics problems.",

keywords = "Div-curl estimates, H{\"o}lder-type inequalities, Magnetostatics problems, Variable exponent Lebesgue spaces",

author = "B. Cekic and Kalinin, \{A. V.\} and Mashiyev, \{R. A.\} and M. Avci",

year = "2012",

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doi = "10.1016/j.jmaa.2011.12.029",

language = "English",

volume = "389",

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T1 - L p(x)(Ω)-estimates of vector fields and some applications to magnetostatics problems

AU - Cekic, B.

AU - Kalinin, A. V.

AU - Mashiyev, R. A.

AU - Avci, M.

PY - 2012/5/15

Y1 - 2012/5/15

N2 - In the present paper, we investigate Hölder-type norm inequalities in terms of div and curl of the vector-valued functions in variable exponent Lebesgue spaces L p(x)(Ω), where Ω⊂R{double-struck} 3. Moreover, by using the obtained results we give some applications for magnetostatics problems.

AB - In the present paper, we investigate Hölder-type norm inequalities in terms of div and curl of the vector-valued functions in variable exponent Lebesgue spaces L p(x)(Ω), where Ω⊂R{double-struck} 3. Moreover, by using the obtained results we give some applications for magnetostatics problems.

KW - Div-curl estimates

KW - Hölder-type inequalities

KW - Magnetostatics problems

KW - Variable exponent Lebesgue spaces

UR - https://www.scopus.com/pages/publications/84856262375

U2 - 10.1016/j.jmaa.2011.12.029

DO - 10.1016/j.jmaa.2011.12.029

M3 - Journal Article

AN - SCOPUS:84856262375

SN - 0022-247X

VL - 389

SP - 838

EP - 851

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

L ^p(x)(Ω)-estimates of vector fields and some applications to magnetostatics problems

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Keywords

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