Uniqueness of positive solutions to fractional nonlinear elliptic equations with harmonic potential

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dc.contributor.authorTianxiang, Goucs
dc.contributor.authorRadulescu, Vicentiucs
dc.coverage.issue1cs
dc.coverage.volume363cs
dc.date.accessioned2025-06-09T10:57:25Z
dc.date.available2025-06-09T10:57:25Z
dc.date.issued2025-06-02cs
dc.description.abstractIn this paper, we establish the uniqueness of positive solutions to the following fractional nonlinear elliptic equation with harmonic potential: (MATHEMATICAL FOMULA PRESENTED) where (MATHEMATICAL EQUATION PRESENTED) is the lowest eigenvalue of the operator ()s + |x|2. This solves an open question raised in [15] concerning the uniqueness of solutions to the equation.en
dc.formattextcs
dc.format.extent353-363cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationCOMPTES RENDUS MATHEMATIQUE. 2025, vol. 363, issue 1, p. 353-363.en
dc.identifier.doi10.5802/crmath.716cs
dc.identifier.issn1778-3569cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other198084cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttps://hdl.handle.net/11012/251326
dc.language.isoencs
dc.publisherThe French Academy of sciencescs
dc.relation.ispartofCOMPTES RENDUS MATHEMATIQUEcs
dc.relation.urihttps://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.716/cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1778-3569/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectfractional elliptic equationsen
dc.subjectharmonic potentialen
dc.subjectpositive solutionsen
dc.subjectUniquenessen
dc.titleUniqueness of positive solutions to fractional nonlinear elliptic equations with harmonic potentialen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-198084en
sync.item.dbtypeVAVen
sync.item.insts2025.06.09 12:57:25en
sync.item.modts2025.06.09 12:33:29en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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