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

dc.authorscopusid 6508234400
dc.authorwosid Shakhmurov, Veli/AAG-8871-2019
dc.contributor.author Shakhmurov, Veli B.
dc.date.accessioned 2024-05-25T11:24:16Z
dc.date.available 2024-05-25T11:24:16Z
dc.date.issued 2013
dc.department Okan University en_US
dc.department-temp Okan Univ, Dept Mech Engn, TR-34959 Istanbul, Turkey en_US
dc.description.abstract In 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.citationcount 5
dc.identifier.doi 10.1186/1687-1812-2013-6
dc.identifier.issn 1687-1812
dc.identifier.scopus 2-s2.0-84885453720
dc.identifier.scopusquality Q3
dc.identifier.uri https://doi.org/10.1186/1687-1812-2013-6
dc.identifier.uri https://hdl.handle.net/20.500.14517/798
dc.identifier.wos WOS:000315344800001
dc.language.iso en
dc.publisher Springer international Publishing Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 7
dc.subject differential equations with VMO coefficients en_US
dc.subject boundary value problems en_US
dc.subject differential-operator equations en_US
dc.subject maximal L-p regularity en_US
dc.subject abstract function spaces en_US
dc.subject nonlinear elliptic equations en_US
dc.title Linear and nonlinear abstract elliptic equations with <i>VMO</i> coefficients and applications en_US
dc.type Article en_US
dc.wos.citedbyCount 5

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