Groundstates of the planar Schrodinger-Poisson system with potential well and lack of symmetry

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dc.contributor.authorLiu, Zhisucs
dc.contributor.authorRadulescu, Vicentiucs
dc.contributor.authorZhang, Jianjuncs
dc.coverage.issue128cs
dc.coverage.volume117cs
dc.date.accessioned2024-02-26T08:46:09Z
dc.date.available2024-02-26T08:46:09Z
dc.date.issued2023-06-06cs
dc.description.abstractThe Schrodinger-Poisson system describes standing waves for the nonlinear Schrodinger equation interacting with the electrostatic field. In this paper, we are concerned with the existence of positive ground states to the planar Schrodinger-Poisson system with a nonlinearity having either a subcritical or a critical exponential growth in the sense of Trudinger-Moser. A feature of this paper is that neither the finite steep potential nor the reaction satisfies any symmetry or periodicity hypotheses. The analysis developed in this paper seems to be the first attempt in the study of planar Schrodinger-Poisson systems with lack of symmetry.en
dc.formattextcs
dc.format.extent1-31cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationPROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. 2023, vol. 117, issue 128, p. 1-31.en
dc.identifier.doi10.1017/prm.2023.43cs
dc.identifier.issn0308-2105cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other184002cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttps://hdl.handle.net/11012/245219
dc.language.isoencs
dc.publisherCambridge University Presscs
dc.relation.ispartofPROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICScs
dc.relation.urihttps://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/groundstates-of-the-planar-schrodingerpoisson-system-with-potential-well-and-lack-of-symmetry/223939198AEDB4F9B7DCB633917950DDcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0308-2105/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectSchrodinger-Poisson systemen
dc.subjectexponential growthen
dc.subjectground statelack of symmetryen
dc.subjectvariational methodsen
dc.titleGroundstates of the planar Schrodinger-Poisson system with potential well and lack of symmetryen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-184002en
sync.item.dbtypeVAVen
sync.item.insts2024.02.26 09:46:09en
sync.item.modts2024.02.26 09:13:13en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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