Convergence analysis for double phase obstacle problems with multivalued convection term

dc.contributor.authorZeng, Shengda
dc.contributor.authorBai, Yunru
dc.contributor.authorGasiński, Leszek
dc.contributor.authorWinkert, Patrick
dc.date.accessioned2021-01-06T07:21:58Z
dc.date.available2021-01-06T07:21:58Z
dc.date.issued2020-11-26
dc.description.abstractIn the present paper, we introduce a family of the approximating problems corresponding to an elliptic obstacle problem with a double phase phenomena and a multivalued reaction convection term. Denoting by 𝓢 the solution set of the obstacle problem and by 𝓢n the solution sets of approximating problems, we prove the following convergence relation ∅≠w-lim sup Sn (n→∞) =s-lim sup (n→∞) Sn ⊂ S, where w-lim supn→∞ 𝓢n and s-lim supn→∞ 𝓢n denote the weak and the strong Kuratowski upper limit of 𝓢n, respectively.en
dc.identifier.eissn2191-950X
dc.identifier.issn2191-9496
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/12341
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-11184
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc510 Mathematikde
dc.subject.otherdouble phase problemen
dc.subject.othermultivalued convection termen
dc.subject.otherKuratowski upper limiten
dc.subject.otherTychonov fixed point principleen
dc.subject.otherobstacle problemen
dc.subject.other35J20en
dc.subject.other35J25en
dc.subject.other35J60en
dc.titleConvergence analysis for double phase obstacle problems with multivalued convection termen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1515/anona-2020-0155en
dcterms.bibliographicCitation.issue1en
dcterms.bibliographicCitation.journaltitleAdvances in Nonlinear Analysisen
dcterms.bibliographicCitation.originalpublishernameDe Gruyteren
dcterms.bibliographicCitation.originalpublisherplaceBerlinen
dcterms.bibliographicCitation.pageend672en
dcterms.bibliographicCitation.pagestart659en
dcterms.bibliographicCitation.volume10en
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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