@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#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00941094v1> a dcat:Dataset ;
    dct:description """
              We consider the shape optimization problem min{E(Γ) : Γ∈A, H^1(Γ)=l }, where H^1 is the one-dimensional Hausdorff measure and A is an admissible class of one-dimensional sets connecting some prescribed set of points D={D_1,...,D_k}⊂Rd. The cost functional E(Γ) is the Dirichlet energy of Γ defined through the Sobolev functions on Γ vanishing on the points D_i. We analyze the existence of a solution in both the families of connected sets and of metric graphs. At the end, several explicit examples are discussed.
            """ ;
    dct:identifier "hal-00941094" ;
    dct:issued "2026-05-07T03:32:38.403703"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T03:32:38.403708"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Shape Optimization Problems for Metric Graphs" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00941094v1/resource/6bc2ba41-3a99-478d-a741-57778d2557f4> ;
    dcat:keyword "infoeu-reposemanticspreprint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00941094> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00941094v1/resource/6bc2ba41-3a99-478d-a741-57778d2557f4> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-07T03:32:38.404808"^^xsd:dateTime ;
    dct:modified "2026-05-07T03:32:38.397671"^^xsd:dateTime ;
    dct:title "Shape Optimization Problems for Metric Graphs" ;
    dcat:accessURL <https://hal.science/hal-00941094> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00941094> a foaf:Document .