@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-00766824v1> a dcat:Dataset ;
    dct:description """
              In this note, we consider the existence of positive solution to \\begin{equation}\\label{eq1.1} \\left\\{ \\arraycolsep=1pt \\begin{array}{lll} (-\\Delta)^\\alpha u=u_+^p+\\sigma\\lambda,\\quad & \\rm{in}\\quad\\Omega,\\\\[2mm] u=0,\\quad & \\rm{in}\\quad \\R^N\\setminus\\Omega, \\end{array} \\right. \\end{equation} where $p>0$, $\\sigma>0$, $\\lambda\\in\\mathfrak{M}(\\Omega)$ with $\\mathfrak{M}(\\Omega)$ the Radon measure space, $u_+(x)=\\max\\{u(x),0\\}$ and $\\Omega$ is an open, smooth domain of $\\R^N\\ (N\\ge2)$. Here $(-\\Delta)^\\alpha $ is defined, for a regular function $u$, as follow \\begin{equation}\\label{eq 1} (-\\Delta)^\\alpha u(x)=(\\alpha-1)\\lim_{r\\to0}\\int_{\\R^N\\setminus B_r}\\frac{u(x+y)-u(x)}{|y|^{N+2\\alpha}}dy, \\end{equation} where $\\alpha\\in(0,1)$, $B_r$ denotes the ball centered at origin with radius $r$ in $\\R^N$. This definition is called \\emph{in the principle value sense.}
            """ ;
    dct:identifier "hal-00766824" ;
    dct:issued "2026-05-30T08:29:52.343446"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-30T08:29:52.343453"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Solutions of fractional equations involving sources and Radon measures" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00766824v1/resource/1f322718-8729-4e3a-b5d0-2aedf61f30c6> ;
    dcat:keyword "35j62-35j75",
        "fractional-laplacian",
        "green-kernel",
        "infoeu-reposemanticspreprint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "preprints-working-papers-",
        "radon-measures" ;
    dcat:landingPage <https://hal.science/hal-00766824> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00766824v1/resource/1f322718-8729-4e3a-b5d0-2aedf61f30c6> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-30T08:29:52.367873"^^xsd:dateTime ;
    dct:modified "2026-05-30T08:29:52.318327"^^xsd:dateTime ;
    dct:title "Solutions of fractional equations involving sources and Radon measures" ;
    dcat:accessURL <https://hal.science/hal-00766824> .

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

<https://hal.science/hal-00766824> a foaf:Document .