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Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces

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dc.abstract.enWe consider a strongly nonlinear elliptic problem with the homogeneous Dirichletboundary condition. The growth and the coercivity of the elliptic operator isassumed to be indicated by an inhomogeneous anisotropicN-function. First, anexistence result is shown under the assumption that theN-function or its convexconjugate satisfies∆2-condition. The second result concerns the homogenizationprocess for families of strongly nonlinear elliptic problems with the homoge-neous Dirichlet boundary condition under above stated conditions on the ellipticoperator, which is additionally assumed to be periodic in the spatial variable.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBulíček, Miroslav
dc.contributor.authorŚwierczewska-Gwiazda, Agnieszka
dc.contributor.authorGwiazda, Piotr
dc.contributor.authorKalousek, Martin
dc.date.accessioned2024-01-25T00:06:58Z
dc.date.available2024-01-25T00:06:58Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.volume194
dc.identifier.doi10.1016/J.NA.2019.03.010
dc.identifier.issn0362-546X
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/106708
dc.identifier.weblinkhttps://api.elsevier.com/content/article/PII:S0362546X19301014?httpAccept=text/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofNonlinear Analysis, Theory, Methods and Applications
dc.relation.pages111487
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enNonlinear elliptic problem
dc.subject.enExistence of solution
dc.subject.enHomogenization
dc.subject.enMusielak–Orlicz spaces
dc.subject.enFast growth
dc.titleExistence and homogenization of nonlinear elliptic systems in nonreflexive spaces
dc.typeJournalArticle
dspace.entity.typePublication