Linear and nonlinear abstract elliptic equations with <i>VMO</i> coefficients and applications

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dc.authorscopusid6508234400
dc.authorwosidShakhmurov, Veli/AAG-8871-2019
dc.contributor.authorShakhmurov, Veli B.
dc.date.accessioned2024-05-25T11:24:16Z
dc.date.available2024-05-25T11:24:16Z
dc.date.issued2013
dc.departmentOkan Universityen_US
dc.department-tempOkan Univ, Dept Mech Engn, TR-34959 Istanbul, Turkeyen_US
dc.description.abstractIn this paper, maximal regularity properties for linear and nonlinear elliptic differential-operator equations with VMO (vanishing mean oscillation) coefficients are studied. For linear case, the uniform separability properties for parameter dependent boundary value problems is obtained in spaces. Then the existence and uniqueness of a strong solution of the boundary value problem for a nonlinear equation is established. In application, the maximal regularity properties of the anisotropic elliptic equation and the system of equations with VMO coefficients are derived. MSC: 58I10, 58I20, 35Bxx, 35Dxx, 47Hxx, 47Dxx.en_US
dc.identifier.citation5
dc.identifier.doi10.1186/1687-1812-2013-6
dc.identifier.issn1687-1812
dc.identifier.scopus2-s2.0-84885453720
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1186/1687-1812-2013-6
dc.identifier.urihttps://hdl.handle.net/20.500.14517/798
dc.identifier.wosWOS:000315344800001
dc.language.isoen
dc.publisherSpringer international Publishing Agen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectdifferential equations with VMO coefficientsen_US
dc.subjectboundary value problemsen_US
dc.subjectdifferential-operator equationsen_US
dc.subjectmaximal L-p regularityen_US
dc.subjectabstract function spacesen_US
dc.subjectnonlinear elliptic equationsen_US
dc.titleLinear and nonlinear abstract elliptic equations with <i>VMO</i> coefficients and applicationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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