Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree

Abstract In this paper, we prove the existence of solutions for the nonlinear p(·)-degenerate problems involving nonlinear operators of the form − div a(x, ∇u) = f(x, u, ∇u) where a and f are Carathéodory functions satisfying some nonstandard growth conditions.

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Autores principales:	Ait Hammou,Mustapha, Azroul,El Houssine
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	Nonlinear elliptic equation Weighted Sobolev spaces with variable exponent Dirichlet problem.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400733
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spelling	oai:scielo:S0716-091720190004007332019-11-04Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degreeAit Hammou,MustaphaAzroul,El Houssine Nonlinear elliptic equation Weighted Sobolev spaces with variable exponent Dirichlet problem. Abstract In this paper, we prove the existence of solutions for the nonlinear p(·)-degenerate problems involving nonlinear operators of the form − div a(x, ∇u) = f(x, u, ∇u) where a and f are Carathéodory functions satisfying some nonstandard growth conditions.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.4 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400733en10.22199/issn.0717-6279-2019-04-0048
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Nonlinear elliptic equation Weighted Sobolev spaces with variable exponent Dirichlet problem.
spellingShingle	Nonlinear elliptic equation Weighted Sobolev spaces with variable exponent Dirichlet problem. Ait Hammou,Mustapha Azroul,El Houssine Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree
description	Abstract In this paper, we prove the existence of solutions for the nonlinear p(·)-degenerate problems involving nonlinear operators of the form − div a(x, ∇u) = f(x, u, ∇u) where a and f are Carathéodory functions satisfying some nonstandard growth conditions.
author	Ait Hammou,Mustapha Azroul,El Houssine
author_facet	Ait Hammou,Mustapha Azroul,El Houssine
author_sort	Ait Hammou,Mustapha
title	Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree
title_short	Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree
title_full	Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree
title_fullStr	Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree
title_full_unstemmed	Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree
title_sort	nonlinear elliptic problems in weighted variable exponent sobolev spaces by topological degree
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400733
work_keys_str_mv	AT aithammoumustapha nonlinearellipticproblemsinweightedvariableexponentsobolevspacesbytopologicaldegree AT azroulelhoussine nonlinearellipticproblemsinweightedvariableexponentsobolevspacesbytopologicaldegree
_version_	1718439856365895680

Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree

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