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

Autor:	Mustafa Avci, R. A. Mashiyev, A.V. Kalinin, Bilal Çekiç
Rok vydání:	2012
Předmět:	Curl (mathematics) Pure mathematics Variable exponent Applied Mathematics Norm (mathematics) Mathematical analysis Vector field Lp space Magnetostatics Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 389:838-851
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2011.12.029
Popis:	In the present paper, we investigate Holder-type norm inequalities in terms of div and curl of the vector-valued functions in variable exponent Lebesgue spaces Lp(x)(Ω), where Ω⊂R3. Moreover, by using the obtained results we give some applications for magnetostatics problems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::614d9e8006e34a4ed23513cb09819ab4 https://doi.org/10.1016/j.jmaa.2011.12.029 Zobrazit plný text záznamu Full Text from ScienceDirect