Some useful tools in the study of nonlinear elliptic problems

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dc.contributor.authorPapageorgiou, Nikolaos S.cs
dc.contributor.authorRadulescu, Vicentiucs
dc.coverage.issue6cs
dc.coverage.volume42cs
dc.date.accessioned2025-06-10T12:57:20Z
dc.date.available2025-06-10T12:57:20Z
dc.date.issued2024-12-05cs
dc.description.abstractThis paper gives an overview of some basic aspects concerning the qualitative analysis of nonlinear, nonhomogeneous elliptic problems. We are concerned with two classes of elliptic equations with Dirichlet boundary condition. The first problem is driven by a general nonhomogeneous differential operator, which includes several usual operators (such as the (p,q)-Laplace operator introduced by P. Marcellini). Next, we focus on differential operators with unbalanced growth in the nonautonomous case. Our analysis will point out some relevant differences between balanced and unbalanced growth problems. The presentation is done in the context of Dirichlet problems but a similar analysis can be developed for other boundary conditions, such as Neumann or Robin.en
dc.formattextcs
dc.format.extent1-27cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationEXPOSITIONES MATHEMATICAE. 2024, vol. 42, issue 6, p. 1-27.en
dc.identifier.doi10.1016/j.exmath.2024.125616cs
dc.identifier.issn0723-0869cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other189703cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttps://hdl.handle.net/11012/251607
dc.language.isoencs
dc.publisherElseviercs
dc.relation.ispartofEXPOSITIONES MATHEMATICAEcs
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0723086924000835cs
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0723-0869/cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/cs
dc.subject(pen
dc.subjectq)-equationen
dc.subjectConstant sign and nodal solutionsen
dc.subjectDirichlet boundary conditionen
dc.subjectDouble phase energyen
dc.subjectNonhomogeneous differential operatoren
dc.subjectNonlinear elliptic equationen
dc.titleSome useful tools in the study of nonlinear elliptic problemsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-189703en
sync.item.dbtypeVAVen
sync.item.insts2025.06.10 14:57:20en
sync.item.modts2025.06.10 14:33:06en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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