Convergence analysis for double phase obstacle problems with multivalued convection term
dc.contributor.author | Zeng, Shengda | |
dc.contributor.author | Bai, Yunru | |
dc.contributor.author | Gasiński, Leszek | |
dc.contributor.author | Winkert, Patrick | |
dc.date.accessioned | 2021-01-06T07:21:58Z | |
dc.date.available | 2021-01-06T07:21:58Z | |
dc.date.issued | 2020-11-26 | |
dc.description.abstract | In 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.eissn | 2191-950X | |
dc.identifier.issn | 2191-9496 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/12341 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-11184 | |
dc.language.iso | en | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
dc.subject.ddc | 510 Mathematik | de |
dc.subject.other | double phase problem | en |
dc.subject.other | multivalued convection term | en |
dc.subject.other | Kuratowski upper limit | en |
dc.subject.other | Tychonov fixed point principle | en |
dc.subject.other | obstacle problem | en |
dc.subject.other | 35J20 | en |
dc.subject.other | 35J25 | en |
dc.subject.other | 35J60 | en |
dc.title | Convergence analysis for double phase obstacle problems with multivalued convection term | en |
dc.type | Article | en |
dc.type.version | publishedVersion | en |
dcterms.bibliographicCitation.doi | 10.1515/anona-2020-0155 | en |
dcterms.bibliographicCitation.issue | 1 | en |
dcterms.bibliographicCitation.journaltitle | Advances in Nonlinear Analysis | en |
dcterms.bibliographicCitation.originalpublishername | De Gruyter | en |
dcterms.bibliographicCitation.originalpublisherplace | Berlin | en |
dcterms.bibliographicCitation.pageend | 672 | en |
dcterms.bibliographicCitation.pagestart | 659 | en |
dcterms.bibliographicCitation.volume | 10 | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |