Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections

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dc.contributor.authorZeng, Shengdacs
dc.contributor.authorLu, Yasics
dc.contributor.authorRadulescu, Vicentiucs
dc.coverage.issue1cs
dc.coverage.volume92cs
dc.date.accessioned2025-07-16T13:56:09Z
dc.date.available2025-07-16T13:56:09Z
dc.date.issued2025-06-24cs
dc.description.abstractIn this paper, we investigate a class of variable exponent double phase elliptic inclusion systems involving anisotropic partial differential operators with logarithmic perturbation as well as two fully coupled multivalued terms, one of them is defined in the domain and the other is defined on the boundary, respectively. Firstly, under the suitable coercive conditions, the existence of a weak solution for the double phase elliptic inclusion systems is verified via applying a surjectivity theorem concerning multivalued pseudomonotone operators. Then, when the elliptic inclusion system is considered in non-coercive framework, we employ the sub-supersolution method to establish the existence and compactness results. Finally, we deliver several solvability properties of some special cases with respect to the elliptic inclusion system under consideration via constructing proper sub- and super-solutions.en
dc.formattextcs
dc.format.extent1-41cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAPPLIED MATHEMATICS AND OPTIMIZATION. 2025, vol. 92, issue 1, p. 1-41.en
dc.identifier.doi10.1007/s00245-025-10278-ycs
dc.identifier.issn0095-4616cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other198264cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttps://hdl.handle.net/11012/255163
dc.language.isoencs
dc.publisherSpringer Naturecs
dc.relation.ispartofAPPLIED MATHEMATICS AND OPTIMIZATIONcs
dc.relation.urihttps://link.springer.com/article/10.1007/s00245-025-10278-ycs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0095-4616/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectElliptic inclusion systemsen
dc.subjectExistence and compactness propertyen
dc.subjectMultivalued convection termen
dc.subjectSubsolution and supersolutionen
dc.subjectSurjectivity theoremen
dc.subjectVariable exponents double phase operator with logarithmic perturbationen
dc.titleAnisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convectionsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-198264en
sync.item.dbtypeVAVen
sync.item.insts2025.07.16 15:56:09en
sync.item.modts2025.07.16 15:32:54en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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