Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data
Identifieur interne : 001576 ( Istex/Checkpoint ); précédent : 001575; suivant : 001577Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data
Auteurs : N. Alaa [Maroc] ; F. Maach [Maroc] ; I. Mounir [Maroc]Source :
- Journal of Applied Analysis [ 1425-6908 ] ; 2005-06.
English descriptors
- Teeft :
- Alaa, Anal, Blaise pascal, Converges, Critical growth, Elliptic, Global existence, Linear problem, Maach, Mass control, Mounir, Nonlinear, Nonlinear function, Nonlinear term, Other hand, Quasilinear, Quasilinear case, Quasilinear elliptic systems, Same hypotheses, Semilinear case, Test function, Triangular structure, Weak solution, Weak solutions.
Abstract
We prove the existence of weak solutions for some quasilinear elliptic reaction-diffusion systems with Dirichlet boundary conditions and satisfying to the two main properties: the positivity of the solutions and the balance law. The nonlinearity we consider here has critical growth with respect to the gradient and the data are in L 1.
Url:
DOI: 10.1515/JAA.2005.81
Affiliations:
Links toward previous steps (curation, corpus...)
Links to Exploration step
ISTEX:21346B13B9C814AF26594CA10B737303884AC99FLe document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data</title>
<author><name sortKey="Alaa, N" sort="Alaa, N" uniqKey="Alaa N" first="N." last="Alaa">N. Alaa</name>
</author>
<author><name sortKey="Maach, F" sort="Maach, F" uniqKey="Maach F" first="F." last="Maach">F. Maach</name>
</author>
<author><name sortKey="Mounir, I" sort="Mounir, I" uniqKey="Mounir I" first="I." last="Mounir">I. Mounir</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:21346B13B9C814AF26594CA10B737303884AC99F</idno>
<date when="2005" year="2005">2005</date>
<idno type="doi">10.1515/JAA.2005.81</idno>
<idno type="url">https://api.istex.fr/ark:/67375/QT4-2MCNS22G-S/fulltext.pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000750</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000750</idno>
<idno type="wicri:Area/Istex/Curation">000745</idno>
<idno type="wicri:Area/Istex/Checkpoint">001576</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001576</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data</title>
<author><name sortKey="Alaa, N" sort="Alaa, N" uniqKey="Alaa N" first="N." last="Alaa">N. Alaa</name>
<affiliation wicri:level="1"><country wicri:rule="url">Maroc</country>
<wicri:regionArea>Faculté des Sciences et Techniques Gueliz, Département de Mathématiques et Informatique, B. P. 618 Marrakech</wicri:regionArea>
<wicri:noRegion>B. P. 618 Marrakech</wicri:noRegion>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">Maroc</country>
</affiliation>
</author>
<author><name sortKey="Maach, F" sort="Maach, F" uniqKey="Maach F" first="F." last="Maach">F. Maach</name>
<affiliation wicri:level="1"><country xml:lang="fr">Maroc</country>
<wicri:regionArea>Faculté des Sciences et Techniques Gueliz, Département de Mathématiques et Informatique, B. P. 618 Marrakech</wicri:regionArea>
<wicri:noRegion>B. P. 618 Marrakech</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Mounir, I" sort="Mounir, I" uniqKey="Mounir I" first="I." last="Mounir">I. Mounir</name>
<affiliation wicri:level="3"><country wicri:rule="url">Maroc</country>
<wicri:regionArea>Université Cadi Ayyad, Faculté des Sciences Semlalia, Département de Mathématiques, Prince My Abdellah B. P. 511, Marrakech</wicri:regionArea>
<placeName><settlement type="city">Marrakech</settlement>
<region nuts="2">Marrakech-Tensift-Al Haouz</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">Maroc</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Journal of Applied Analysis</title>
<title level="j" type="abbrev">Journal of Applied Analysis</title>
<idno type="ISSN">1425-6908</idno>
<idno type="eISSN">1869-6082</idno>
<imprint><publisher>Walter de Gruyter GmbH & Co. KG</publisher>
<date type="published" when="2005-06">2005-06</date>
<biblScope unit="volume">11</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="81">81</biblScope>
<biblScope unit="page" to="94">94</biblScope>
</imprint>
<idno type="ISSN">1425-6908</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">1425-6908</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Alaa</term>
<term>Anal</term>
<term>Blaise pascal</term>
<term>Converges</term>
<term>Critical growth</term>
<term>Elliptic</term>
<term>Global existence</term>
<term>Linear problem</term>
<term>Maach</term>
<term>Mass control</term>
<term>Mounir</term>
<term>Nonlinear</term>
<term>Nonlinear function</term>
<term>Nonlinear term</term>
<term>Other hand</term>
<term>Quasilinear</term>
<term>Quasilinear case</term>
<term>Quasilinear elliptic systems</term>
<term>Same hypotheses</term>
<term>Semilinear case</term>
<term>Test function</term>
<term>Triangular structure</term>
<term>Weak solution</term>
<term>Weak solutions</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">We prove the existence of weak solutions for some quasilinear elliptic reaction-diffusion systems with Dirichlet boundary conditions and satisfying to the two main properties: the positivity of the solutions and the balance law. The nonlinearity we consider here has critical growth with respect to the gradient and the data are in L 1.</div>
</front>
</TEI>
<affiliations><list><country><li>Maroc</li>
</country>
<region><li>Marrakech-Tensift-Al Haouz</li>
</region>
<settlement><li>Marrakech</li>
</settlement>
</list>
<tree><country name="Maroc"><noRegion><name sortKey="Alaa, N" sort="Alaa, N" uniqKey="Alaa N" first="N." last="Alaa">N. Alaa</name>
</noRegion>
<name sortKey="Alaa, N" sort="Alaa, N" uniqKey="Alaa N" first="N." last="Alaa">N. Alaa</name>
<name sortKey="Maach, F" sort="Maach, F" uniqKey="Maach F" first="F." last="Maach">F. Maach</name>
<name sortKey="Mounir, I" sort="Mounir, I" uniqKey="Mounir I" first="I." last="Mounir">I. Mounir</name>
<name sortKey="Mounir, I" sort="Mounir, I" uniqKey="Mounir I" first="I." last="Mounir">I. Mounir</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Istex/Checkpoint
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001576 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Checkpoint/biblio.hfd -nk 001576 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Lorraine |area= InforLorV4 |flux= Istex |étape= Checkpoint |type= RBID |clé= ISTEX:21346B13B9C814AF26594CA10B737303884AC99F |texte= Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data }}
This area was generated with Dilib version V0.6.33. |