@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-00078818v1> a dcat:Dataset ;
    dct:description """
              We study the boundary value problem $-{\\rm div}(\\log(1+ |\\nabla u|^q)|\\nabla u|^{p-2}\\nabla u)=f(u)$ in $\\Omega$, $u=0$ on $\\partial\\Omega$, where $\\Omega$ is a bounded domain in $\\RR^N$ with smooth boundary. We distinguish the cases where either $f(u)=-\\lambda|u|^{p-2}u+|u|^{r-2}u$ or $f(u)=\\lambda|u|^{p-2}u-|u|^{r-2}u$, with $p$, $q>1$ , $p+q<\\min\\{N,r\\}$, and $r<(Np-N+p)/(N-p)$. In the first case we show the existence of infinitely many weak solutions for any $\\lambda>0$. In the second case we prove the existence of a nontrivial weak solution if $\\lambda$ is sufficiently large. Our approach relies on adequate variational methods in Orlicz-Sobolev spaces.
            """ ;
    dct:identifier "hal-00078818" ;
    dct:issued "2026-05-14T12:14:55.800542"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-14T12:14:55.800548"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Existence and multiplicity of solutions for quasilinear nonhomogeneous problems: an Orlicz-Sobolev space setting" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00078818v1/resource/0a749360-dfda-4d57-8fb0-ccf55474ec77> ;
    dcat:keyword "35d05-35j60-35j70-46n20",
        "critical-point",
        "infoeu-reposemanticspreprint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "nonhomogeneous-operator",
        "orlicz-sobolev-space",
        "preprints-working-papers-",
        "weak-solution" ;
    dcat:landingPage <https://hal.science/hal-00078818> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00078818v1/resource/0a749360-dfda-4d57-8fb0-ccf55474ec77> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-14T12:14:55.827609"^^xsd:dateTime ;
    dct:modified "2026-05-14T12:14:55.785500"^^xsd:dateTime ;
    dct:title "Existence and multiplicity of solutions for quasilinear nonhomogeneous problems: an Orlicz-Sobolev space setting" ;
    dcat:accessURL <https://hal.science/hal-00078818> .

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

<https://hal.science/hal-00078818> a foaf:Document .