Concentration of solutions for non-autonomous double-phase problems with lack of compactness

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dc.contributor.authorzhang, Weiqiangcs
dc.contributor.authorZuo, Jiabincs
dc.contributor.authorRadulescu, Vicentiucs
dc.coverage.issue7cs
dc.coverage.volume75cs
dc.date.accessioned2025-02-28T13:53:50Z
dc.date.available2025-02-28T13:53:50Z
dc.date.issued2024-07-20cs
dc.description.abstractThe present paper is devoted to the study of the following double-phase equation (Formula presented.) where N2, 1<p<q<N, q<p with p=NpN-p, :RNR is a continuous non-negative function, (x)=(x), V:RNR is a positive potential satisfying a local minimum condition, V(x)=V(x), and the nonlinearity f:RR is a continuous function with subcritical growth. Under natural assumptions on , V and f, by using penalization methods and Lusternikā€“Schnirelmann theory we first establish the multiplicity of solutions, and then, we obtain concentration properties of solutions.en
dc.formattextcs
dc.format.extent1-30cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 2024, vol. 75, issue 7, p. 1-30.en
dc.identifier.doi10.1007/s00033-024-02290-zcs
dc.identifier.issn0044-2275cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other189162cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttps://hdl.handle.net/11012/250077
dc.language.isoencs
dc.publisherSpringer Naturecs
dc.relation.ispartofZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIKcs
dc.relation.urihttps://link.springer.com/article/10.1007/s00033-024-02290-zcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0044-2275/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectConcentrating phenomenonen
dc.subjectDouble-phase operatoren
dc.subjectLusternikā€“Schnirelmann theoryen
dc.subjectPenalization methodsen
dc.titleConcentration of solutions for non-autonomous double-phase problems with lack of compactnessen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-189162en
sync.item.dbtypeVAVen
sync.item.insts2025.02.28 14:53:50en
sync.item.modts2025.02.28 14:32:05en
thesis.grantorVysokĆ© učenĆ­ technickĆ© v Brně. Fakulta elektrotechniky a komunikačnĆ­ch technologiĆ­. ƚstav matematikycs
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