Multiplicity of positive solutions for the fractional Schrödinger-Poisson system with critical nonlocal term

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dc.contributor.authorDou, Xilincs
dc.contributor.authorHe, Xiaomingcs
dc.contributor.authorRadulescu, Vicentiucs
dc.coverage.issue02cs
dc.coverage.volume14cs
dc.date.accessioned2025-03-17T13:46:56Z
dc.date.available2025-03-17T13:46:56Z
dc.date.issued2024-08-28cs
dc.description.abstractThis paper deals with the following fractional Schrodinger-Poisson system: (-& UDelta;)su + u - K(x)f|u|2s*-3u = f ?(x)|u|q-2u,x & ISIN; Double-struck capital R3,(-& UDelta;)sf = K(x)|u|2s*-1,x & ISIN; Double-struck capital R3 with multiple competing potentials and a critical nonlocal term, where s & ISIN; (0, 1), q & ISIN; (1, 2) or q & ISIN; (4, 2s*), and 2s* = 6 3-2s is the fractional critical exponent. By combining the Nehari manifold analysis and the Ljusternik-Schnirelmann category theory, we establish how the coefficient K of the nonlocal critical nonlinearity affects the number of positive solutions. We propose a new relation between the number of positive solutions and the category of the global maximal set of K.en
dc.formattextcs
dc.format.extent1-56cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationBulletin of Mathematical Sciences. 2024, vol. 14, issue 02, p. 1-56.en
dc.identifier.doi10.1142/S1664360723500121cs
dc.identifier.issn1664-3615cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other185748cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttps://hdl.handle.net/11012/250105
dc.language.isoencs
dc.publisherWorld Scientificcs
dc.relation.ispartofBulletin of Mathematical Sciencescs
dc.relation.urihttps://www.worldscientific.com/doi/epdf/10.1142/S1664360723500121cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1664-3615/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectONCENTRATION-COMPACTNESS PRINCIPLEen
dc.subjectNONLINEAR SCHRODINGER-EQUATIONSen
dc.subjectKLEIN-GORDON-MAXWELLPOISSON EQUATIONSen
dc.subjectSOLITARY WAVESen
dc.subjectCALCULUSen
dc.titleMultiplicity of positive solutions for the fractional Schrödinger-Poisson system with critical nonlocal termen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-185748en
sync.item.dbtypeVAVen
sync.item.insts2025.03.17 14:46:56en
sync.item.modts2025.03.17 14:33:39en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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