@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-00087322v1> a dcat:Dataset ;
    dct:description """
              Let $\\Omega$ be a bounded $C^{2,\\alpha}$ domain in $\\R^n$ ($n\\geq 1$, $0<\\alpha<1$), $\\Omega^{\\ast}$ be the open Euclidean ball centered at $0$ having the same Lebesgue measure as $\\Omega$, $\\tau\\geq 0$ and $v\\in L^{\\infty}(\\Omega,\\R^n)$ with $\\left\\Vert v\\right\\Vert_{\\infty}\\leq \\tau$. If $\\lambda_{1}(\\Omega,\\tau)$ denotes the principal eigenvalue of the operator $-\\Delta+v\\cdot\\nabla$ in $\\Omega$ with Dirichlet boundary condition, we establish that $\\lambda_{1}(\\Omega,v)\\geq \\lambda_{1}(\\Omega^{\\ast},\\tau e_{r})$ where $e_{r}(x)=x/\\left\\vert x\\right\\vert$. Moreover, equality holds only when, up to translation, $\\Omega=\\Omega^{\\ast}$ and $v=\\tau e_{r}$. This result can be viewed as an isoperimetric inequality for the first eigenvalue of the Dirichlet Laplacian with drift. It generalizes the celebrated Rayleigh-Faber-Krahn inequality for the first eigenvalue of the Dirichlet Laplacian.
            """ ;
    dct:identifier "hal-00087322" ;
    dct:issued "2026-05-09T09:03:06.122431"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-09T09:03:06.122436"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A Faber-Krahn inequality with drift" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00087322v1/resource/9b6c1f3a-3ba8-4810-bbd5-dccd03bdb32a> ;
    dcat:keyword "35p15-47a75-49r50-35j20",
        "drift",
        "eigenvalue",
        "faber-krahn",
        "infoeu-reposemanticspreprint",
        "isoperimetric-inequality",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00087322> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00087322v1/resource/9b6c1f3a-3ba8-4810-bbd5-dccd03bdb32a> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-09T09:03:06.123812"^^xsd:dateTime ;
    dct:modified "2026-05-09T09:03:06.110822"^^xsd:dateTime ;
    dct:title "A Faber-Krahn inequality with drift" ;
    dcat:accessURL <https://hal.science/hal-00087322> .

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

<https://hal.science/hal-00087322> a foaf:Document .