Uniform estimates with data from generalized Lebesgue spaces in periodic structures

Abstract We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and weighted Orlicz spaces, which are gener...

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Main Author:	Yunsoo Jang
Format:	Article
Language:	English
Published:	SpringerOpen 2021-03-01
Series:	Boundary Value Problems
Subjects:	Homogenization Uniform estimate Weighted Lebesgue space Orlicz space Reifenberg domain BMO coefficient
Online Access:	https://doi.org/10.1186/s13661-021-01504-x

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spelling	doaj-4fd9afd9d9cf40d9abc9b0db159c12102021-03-11T12:50:53ZengSpringerOpenBoundary Value Problems1687-27702021-03-012021112410.1186/s13661-021-01504-xUniform estimates with data from generalized Lebesgue spaces in periodic structuresYunsoo Jang0Department of Mathematics Education, Kangwon National UniversityAbstract We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and weighted Orlicz spaces, which are generalized Lebesgue spaces, provided that the coefficients have small BMO seminorms and the domains are δ-Reifenberg domains.https://doi.org/10.1186/s13661-021-01504-xHomogenizationUniform estimateWeighted Lebesgue spaceOrlicz spaceReifenberg domainBMO coefficient
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yunsoo Jang
spellingShingle	Yunsoo Jang Uniform estimates with data from generalized Lebesgue spaces in periodic structures Boundary Value Problems Homogenization Uniform estimate Weighted Lebesgue space Orlicz space Reifenberg domain BMO coefficient
author_facet	Yunsoo Jang
author_sort	Yunsoo Jang
title	Uniform estimates with data from generalized Lebesgue spaces in periodic structures
title_short	Uniform estimates with data from generalized Lebesgue spaces in periodic structures
title_full	Uniform estimates with data from generalized Lebesgue spaces in periodic structures
title_fullStr	Uniform estimates with data from generalized Lebesgue spaces in periodic structures
title_full_unstemmed	Uniform estimates with data from generalized Lebesgue spaces in periodic structures
title_sort	uniform estimates with data from generalized lebesgue spaces in periodic structures
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2021-03-01
description	Abstract We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and weighted Orlicz spaces, which are generalized Lebesgue spaces, provided that the coefficients have small BMO seminorms and the domains are δ-Reifenberg domains.
topic	Homogenization Uniform estimate Weighted Lebesgue space Orlicz space Reifenberg domain BMO coefficient
url	https://doi.org/10.1186/s13661-021-01504-x
work_keys_str_mv	AT yunsoojang uniformestimateswithdatafromgeneralizedlebesguespacesinperiodicstructures
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Uniform estimates with data from generalized Lebesgue spaces in periodic structures

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