@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 paper we provide an approximation à la Ambrosio-Tortorelli of some classical minimization problems involving the length of an unknown one-dimensional set, with an additional connectedness constraint, in dimension two. We introduce a term of new type relying on a weighted geodesic distance that forces the minimizers to be connected at the limit. We apply this approach to approximate the so-called Steiner Problem, but also the average distance problem, and finally a problem relying on the p-compliance energy. The proof of convergence of the approximating functional, which is stated in terms of Gamma-convergence relies on technical tools from geometric measure theory, as for instance a uniform lower bound for a sort of average directional Minkowski content of a family of compact connected sets.
            """ ;
    dct:identifier "hal-00957105" ;
    dct:issued "2026-05-06T02:38:57.424782"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-06T02:38:57.424786"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Approximation of length minimization problems among compact connected sets" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00957105v1/resource/b51328c5-79d1-4072-8e1f-2340b57a6094> ;
    dcat:keyword "gamma-convergence",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mathmath-gmmathematics-mathgeneral-mathematics-mathgm",
        "modica-mortola-approximation",
        "steiner-problem" ;
    dcat:landingPage <ISSN:%200036-1410> .

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<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00957105v1/resource/b51328c5-79d1-4072-8e1f-2340b57a6094> a dcat:Distribution ;
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    dct:issued "2026-05-06T02:38:57.428474"^^xsd:dateTime ;
    dct:modified "2026-05-06T02:38:57.416815"^^xsd:dateTime ;
    dct:title "Approximation of length minimization problems among compact connected sets" ;
    dcat:accessURL <https://hal.science/hal-00957105> .

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