Elliptic equations with measurable coefficients in generalized weighted morrey spaces

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dc.contributor.authorEroglu, Ahmet
dc.contributor.authorOmarova, Mehriban N.
dc.contributor.authorMuradova, Shemsiyye A.
dc.date.accessioned2024-11-07T10:40:12Z
dc.date.available2024-11-07T10:40:12Z
dc.date.issued2017
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractWe obtain a global generalized weighted Morrey Mwp,? estimate for the gradient of the weak solutions to divergence form elliptic equations with measurable coefficients in a nonsmooth bounded domain. The coefficients are assumed to be merely measurable in one variable and to have small BMO semi-norms in the remaining variables, while the boundary of the domain is supposed to be Reifenberg flat, which goes beyond the category of domains with Lipschitz continuous boundaries. As consequence of the main result, we derive global gradient estimate for the weak solution in the framework of the generalized weighted Morrey spaces. © 2017, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
dc.description.sponsorshipElmin Inkişafı Fondu, eif
dc.identifier.endpage213
dc.identifier.issn2409-4986
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85037702106
dc.identifier.scopusqualityQ3
dc.identifier.startpage197
dc.identifier.urihttps://hdl.handle.net/11480/11510
dc.identifier.volume43
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
dc.relation.ispartofProceedings of the Institute of Mathematics and Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectElliptic equation
dc.subjectGeneralized weighted Morrey spaces
dc.subjectGradient estimates
dc.subjectMeasurable coefficients
dc.subjectMuckenhoupt weight
dc.subjectReifenberg flat domain
dc.titleElliptic equations with measurable coefficients in generalized weighted morrey spaces
dc.typeArticle

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