<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-03164134</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-14T15:05:17+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Comparing variational methods for the hinged Kirchhoff plate with corners</title>
            <author role="aut">
              <persName>
                <forename type="first">Colette</forename>
                <surname>De Coster</surname>
              </persName>
              <email type="md5">2d73f549a4b66b92c1eb7c70cbd9308c</email>
              <email type="domain">uphf.fr</email>
              <idno type="idhal" notation="string">colette-de-coster</idno>
              <idno type="idhal" notation="numeric">1030036</idno>
              <idno type="halauthorid" notation="string">2537791-1030036</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-5230-7704</idno>
              <idno type="IDREF">https://www.idref.fr/111390648</idno>
              <idno type="ISNI">http://isni.org/isni/000000011730392X</idno>
              <idno type="VIAF">https://viaf.org/viaf/61302883</idno>
              <affiliation ref="#struct-53322"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Serge</forename>
                <surname>Nicaise</surname>
              </persName>
              <email type="md5">a8833e6a97e49832b295621d97a4f981</email>
              <email type="domain">uphf.fr</email>
              <idno type="idhal" notation="string">serge-nicaise</idno>
              <idno type="idhal" notation="numeric">1080829</idno>
              <idno type="halauthorid" notation="string">2056771-1080829</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-3673-3495</idno>
              <idno type="IDREF">https://www.idref.fr/05022641X</idno>
              <idno type="ISNI">http://isni.org/isni/0000000032045394</idno>
              <idno type="VIAF">https://viaf.org/viaf/71545622</idno>
              <orgName ref="#struct-1001263"/>
              <affiliation ref="#struct-53322"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Guido</forename>
                <surname>Sweers</surname>
              </persName>
              <idno type="halauthorid">1001959-0</idno>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Marie</forename>
                <surname>ZOIA</surname>
              </persName>
              <email type="md5">8fbdc6cc49f2f0ec3627f768a2a589bc</email>
              <email type="domain">uphf.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2021-03-09 16:41:17</date>
              <date type="whenModified">2024-04-26 03:30:08</date>
              <date type="whenReleased">2021-03-09 16:41:17</date>
              <date type="whenProduced">2019-08-29</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="856218">
                <persName>
                  <forename>Marie</forename>
                  <surname>ZOIA</surname>
                </persName>
                <email type="md5">8fbdc6cc49f2f0ec3627f768a2a589bc</email>
                <email type="domain">uphf.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-03164134</idno>
            <idno type="halUri">https://uphf.hal.science/hal-03164134</idno>
            <idno type="halBibtex">decoster:hal-03164134</idno>
            <idno type="halRefHtml">&lt;i&gt;Mathematical News / Mathematische Nachrichten&lt;/i&gt;, 2019, 292 (12), pp.2574-2601. &lt;a target="_blank" href="https://dx.doi.org/10.1002/mana.201800092"&gt;&amp;#x27E8;10.1002/mana.201800092&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Mathematical News / Mathematische Nachrichten, 2019, 292 (12), pp.2574-2601. &amp;#x27E8;10.1002/mana.201800092&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-VALENCIENNES">Université de Valenciennes et du Hainaut-Cambresis</idno>
            <idno type="stamp" n="LAMAV" corresp="UNIV-VALENCIENNES">Laboratoire de Mathématiques et leurs Applications de Valenciennes</idno>
            <idno type="stamp" n="CERAMATHS" corresp="UNIV-VALENCIENNES">Laboratoire de Matériaux Céramiques et de Mathématiques - Ceramaths</idno>
            <idno type="stamp" n="INSA-HAUTS-DE-FRANCE" corresp="UNIV-VALENCIENNES">INSA Institut National des Sciences Appliquées Hauts-de-France</idno>
            <idno type="stamp" n="TEST-UPHF">TEST-UPHF</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Comparing variational methods for the hinged Kirchhoff plate with corners</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Colette</forename>
                    <surname>De Coster</surname>
                  </persName>
                  <email type="md5">2d73f549a4b66b92c1eb7c70cbd9308c</email>
                  <email type="domain">uphf.fr</email>
                  <idno type="idhal" notation="string">colette-de-coster</idno>
                  <idno type="idhal" notation="numeric">1030036</idno>
                  <idno type="halauthorid" notation="string">2537791-1030036</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-5230-7704</idno>
                  <idno type="IDREF">https://www.idref.fr/111390648</idno>
                  <idno type="ISNI">http://isni.org/isni/000000011730392X</idno>
                  <idno type="VIAF">https://viaf.org/viaf/61302883</idno>
                  <affiliation ref="#struct-53322"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Serge</forename>
                    <surname>Nicaise</surname>
                  </persName>
                  <email type="md5">a8833e6a97e49832b295621d97a4f981</email>
                  <email type="domain">uphf.fr</email>
                  <idno type="idhal" notation="string">serge-nicaise</idno>
                  <idno type="idhal" notation="numeric">1080829</idno>
                  <idno type="halauthorid" notation="string">2056771-1080829</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-3673-3495</idno>
                  <idno type="IDREF">https://www.idref.fr/05022641X</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000032045394</idno>
                  <idno type="VIAF">https://viaf.org/viaf/71545622</idno>
                  <orgName ref="#struct-1001263"/>
                  <affiliation ref="#struct-53322"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Guido</forename>
                    <surname>Sweers</surname>
                  </persName>
                  <idno type="halauthorid">1001959-0</idno>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">16942</idno>
                <idno type="issn">0025-584X</idno>
                <idno type="eissn">1522-2616</idno>
                <title level="j">Mathematical News / Mathematische Nachrichten</title>
                <imprint>
                  <publisher>Wiley-VCH Verlag</publisher>
                  <biblScope unit="volume">292</biblScope>
                  <biblScope unit="issue">12</biblScope>
                  <biblScope unit="pp">2574-2601</biblScope>
                  <date type="datePub">2019-08-29</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1002/mana.201800092</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Biharmonic operator</term>
                <term xml:lang="en">Corner domains</term>
                <term xml:lang="en">Hinged boundary condition</term>
              </keywords>
              <classCode scheme="halDomain" n="math">Mathematics [math]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>The hinged Kirchhoff plate model contains a fourth order elliptic differential equation complemented with a zeroeth and a second order boundary condition. On domains with boundaries having corners the strong setting is not well‐defined. We here allow boundaries consisting of piecewise C2, 1‐curves connecting at corners. For such domains different variational settings will be discussed and compared. As was observed in the so‐called Saponzhyan–Babushka paradox, domains with reentrant corners need special care. In that case, a variational setting that corresponds to a second order system needs an augmented solution space in order to find a solution in the appropriate Sobolev‐type space.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-53322" status="OLD">
          <idno type="IdRef">160134897</idno>
          <idno type="RNSR">200615269A</idno>
          <orgName>Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015</orgName>
          <orgName type="acronym">LAMAV</orgName>
          <date type="start">2006-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Campus Le Mont Houy 59313 Valenciennes Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.uphf.fr/LAMAV/</ref>
          </desc>
          <listRelation>
            <relation name="EA4015" active="#struct-300279" type="direct"/>
            <relation name="FRE2956" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300279" status="OLD">
          <idno type="IdRef">026404079</idno>
          <idno type="ISNI">0000000107901416</idno>
          <idno type="ROR">https://ror.org/02ezch769</idno>
          <orgName>Université de Valenciennes et du Hainaut-Cambrésis</orgName>
          <orgName type="acronym">UVHC</orgName>
          <date type="start">1979-01-01</date>
          <date type="end">2019-09-08</date>
          <desc>
            <address>
              <addrLine>Campus Mont Houy59313 Valenciennes Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.uphf.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>