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.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.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.issn1631-073Xcs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other198084cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttp://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/1631-073X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectfractional elliptic equationsen
dc.subjectharmonic potentialen
dc.subjectpositive solutionsen
dc.subjectUniquenessen
dc.subjectfractional elliptic equations
dc.subjectharmonic potential
dc.subjectpositive solutions
dc.subjectUniqueness
dc.titleUniqueness of positive solutions to fractional nonlinear elliptic equations with harmonic potentialen
dc.title.alternativeUniqueness 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.insts2025.10.14 14:10:21en
sync.item.modts2025.10.14 10:15:21en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs

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