@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              In this article we establish optimal estimates for the first eigenvalue of Schrödinger operators on the d-dimensional unit sphere. These estimates depend on Lebsgue's norms of the potential, or of its inverse, and are equivalent to interpolation inequalities on the sphere. We also characterize a semi-classical asymptotic regime and discuss how our estimates on the sphere differ from those on the Euclidean space.
            """ ;
    dct:identifier "hal-00770755" ;
    dct:issued "2026-05-10T17:17:36.617497"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-10T17:17:36.617502"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Spectral estimates on the sphere" ;
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    dcat:keyword "58j50-81q10-81q35-35p15-47a75-26d10-46e35-58e35-81q20",
        "estimation-of-eigenvalues",
        "gagliardo-nirenberg-sobolev-inequalities",
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        "interpolation",
        "journal-articles",
        "logarithmic-sobolev-inequality",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "one-bound-state-keller-lieb-thirring-inequality",
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        "schrodinger-operator",
        "sobolev-inequality",
        "spectral-problems" ;
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    dct:issued "2026-05-10T17:17:36.623371"^^xsd:dateTime ;
    dct:modified "2026-05-10T17:17:36.601804"^^xsd:dateTime ;
    dct:title "Spectral estimates on the sphere" ;
    dcat:accessURL <https://hal.science/hal-00770755> .

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