Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data
Identifieur interne : 006262 ( Main/Exploration ); précédent : 006261; suivant : 006263Existence 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:
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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. 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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)
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