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Existence of weak solutions for some quasilinear degenerated elliptic systems in weighted Sobolev spaces

dc.creatorEl Houcine, Rami
dc.creatorElhoussine , Azroul
dc.creatorAbdelkrim, Barbara
dc.date2022-11-14
dc.date.accessioned2022-11-15T12:37:10Z
dc.date.available2022-11-15T12:37:10Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5336
dc.identifier10.22199/issn.0717-6279-5336
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/215691
dc.descriptionWe consider, for a bounded open domain Ω in Rn; (n ≥ 1) and a function u : Ω → ℝm; (m ≥ 1) the quasilinear elliptic system:   (0.1) Which is a Dirichlet problem. Here, v belongs to the dual space , f and g satisfy some stan- dard continuity and growth conditions. we will show the existence of a weak solution of this problem in the four following cases: σ is mono- tonic, σ is strictly monotonic, σ is quasi montone and σ derives from a convex potential.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5336/4188
dc.rightsCopyright (c) 2022 Rami El Houcine, Azroul Elhoussine , Barbara Abdelkrimen-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 41 No. 6 (2022); 1523-1549en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 41 Núm. 6 (2022); 1523-1549es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2022-06
dc.subjectquasilinear elliptic systemen-US
dc.subjectYoung measureen-US
dc.subjectGalerkin schemaen-US
dc.subject35J20en-US
dc.subject35J25en-US
dc.titleExistence of weak solutions for some quasilinear degenerated elliptic systems in weighted Sobolev spacesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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