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dc.contributor.authorBonheure, Denis
dc.contributor.authorDolbeault, Jean
dc.contributor.authorEsteban, Maria J.
dc.contributor.authorLaptev, Ari
dc.contributor.authorLoss, Michael
dc.date.accessioned2019-03-25T10:07:51Z
dc.date.available2019-03-25T10:07:51Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18551
dc.language.isoenen
dc.subjectAharonov-Bohm magnetic potentialen
dc.subjectradial symmetryen
dc.subjectcylindrical symmetryen
dc.subjectsymmetry breakingen
dc.subjectmagnetic Hardy inequalityen
dc.subjectmagnetic interpolation inequalityen
dc.subjectoptimal constantsen
dc.subjectmagnetic Schrödinger operatoren
dc.subjectmagnetic Keller-Lieb-Thirring inequalityen
dc.subjectmagnetic ringsen
dc.subject.ddc515en
dc.titleInequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3en
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper is devoted to interpolation inequalities of Gagliardo-Nirenberg type associated with Schrödinger operators involving Aharonov-Bohm magnetic potentials and related magnetic Hardy inequalities in dimensions 2 and 3. The focus is on symmetry properties of the optimal functions, with explicit ranges of symmetry and symmetry breaking in terms of the intensity of the magnetic potential.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages25en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02021174en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2019-02
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-03-25T10:03:24Z
hal.person.labIds255058
hal.person.labIds60
hal.person.labIds60
hal.person.labIds4553
hal.person.labIds7772


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