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.accessioned2024-11-07T13:34:44Z
dc.date.available2024-11-07T13:34:44Z
dc.date.issued2017
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractWe obtain a global generalized weighted Morrey M-w(p,)phi 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.
dc.description.sponsorshipgrant of Science Development Foundation under the President of the Republic of Azerbaijan
dc.description.sponsorshipThe research of M.N. Omarova and Sh.A. Muradova is partially supported by the grant of Science Development Foundation under the President of the Republic of Azerbaijan.
dc.identifier.endpage213
dc.identifier.issn2409-4986
dc.identifier.issn2409-4994
dc.identifier.issue2
dc.identifier.startpage197
dc.identifier.urihttps://hdl.handle.net/11480/16144
dc.identifier.volume43
dc.identifier.wosWOS:000419609700003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherInst Mathematics & Mechanics, Natl Acad Sciences 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.subjectmeasurable coefficients
dc.subjectgradient estimates
dc.subjectMuck-enhoupt weight
dc.subjectgeneralized weighted Morrey spaces
dc.subjectReifenberg flat domain
dc.titleELLIPTIC EQUATIONS WITH MEASURABLE COEFFICIENTS IN GENERALIZED WEIGHTED MORREY SPACES
dc.typeArticle

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