@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 """
              This paper is devoted to multiplicity results of solutions to nonlocal elliptic equations modeling gravitating systems. By considering the case of Fermi-Dirac statistics as a singular perturbation of Maxwell-Boltzmann one, we are able to produce multiplicity results. Our method is based on cumulated mass densities and a logarithmic change of coordinates that allows us to describe the set of all solutions by a non-autonomous perturbation of an autonomous dynamical system. This has interesting consequences in terms of bifurcation diagrams, which are illustrated by a some numerical computations. More specifically, we study a model based on the Fermi function as well as a simplified one for which estimates are easier to establish. The main difficulty comes from the fact that the mass enters in the equation as a parameter which makes the whole problem non-local.
            """ ;
    dct:identifier "hal-00859375" ;
    dct:issued "2026-05-07T04:44:35.983227"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T04:44:35.983233"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00859375v2/resource/1cd2c378-d1f0-4e0e-9ec4-c45623eeab9e> ;
    dcat:keyword "35q85-70k05-85a05-34e15-37n05",
        "bifurcation-diagrams",
        "cumulated-mass-density",
        "dynamical-system",
        "fermi-dirac-statistics",
        "fermi-function",
        "gravitation",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mass-constraint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "maxwell-boltzmann-statistics",
        "nonlocal-elliptic-equations",
        "singular-perturbation" ;
    dcat:landingPage <ISSN:%201078-0947> .

<ISSN:%201078-0947> a foaf:Document .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00859375v2/resource/1cd2c378-d1f0-4e0e-9ec4-c45623eeab9e> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-07T04:44:35.992444"^^xsd:dateTime ;
    dct:modified "2026-05-07T04:44:35.968409"^^xsd:dateTime ;
    dct:title "Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics" ;
    dcat:accessURL <https://hal.science/hal-00859375> .

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