Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator

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dc.contributor.authorCai, Lics
dc.contributor.authorPapageorgiou, Nikolaos S.cs
dc.contributor.authorRadulescu, Vicentiucs
dc.coverage.issue5cs
dc.coverage.volume17cs
dc.date.issued2023-07-04cs
dc.description.abstractWe consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical groups, we show that for all small values of the parameter, the problem has at least three nontrivial bounded solutions which are ordered and we provide the sign information for all of them. Two solutions are of constant sign and the third one is nodal. Finally, we determine the asymptotic behavior of the nodal solution as the parameter converges to zero.en
dc.description.abstractWe consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical groups, we show that for all small values of the parameter, the problem has at least three nontrivial bounded solutions which are ordered and we provide the sign information for all of them. Two solutions are of constant sign and the third one is nodal. Finally, we determine the asymptotic behavior of the nodal solution as the parameter converges to zero.en
dc.formattextcs
dc.format.extent1-28cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationComplex Analysis and Operator Theory. 2023, vol. 17, issue 5, p. 1-28.en
dc.identifier.doi10.1007/s11785-023-01379-zcs
dc.identifier.issn1661-8254cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other184000cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttp://hdl.handle.net/11012/244986
dc.language.isoencs
dc.publisherSpringer Naturecs
dc.relation.ispartofComplex Analysis and Operator Theorycs
dc.relation.urihttps://link.springer.com/article/10.1007/s11785-023-01379-zcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1661-8254/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectDouble phase differential operatoren
dc.subjectExtremal constant sign solutionsen
dc.subjectCritical groupsen
dc.subjectGeneralized Orlicz spacesen
dc.subjectDouble phase differential operator
dc.subjectExtremal constant sign solutions
dc.subjectCritical groups
dc.subjectGeneralized Orlicz spaces
dc.titleMultiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operatoren
dc.title.alternativeMultiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operatoren
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-184000en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:10:18en
sync.item.modts2025.10.14 09:51:05en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs

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