Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data

Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data

We study the anisotropic boundary value problem <img border=0 width=344 height=62 src="http:/fbpe/img/cubo/v12n1/art12-01.jpg">on <img border=0 width=18 height=21 src="http:/fbpe/img/cubo/v12n1/img30.jpg"><img border=0 width=20 height=22 src="http:/fbpe/img/cu...

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Autor principal: Ouaro,Stanislas
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:
Anisotropic
variable exponent
entropy solution
electrorheological fluids
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100012
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spelling oai:scielo:S0719-064620100001000122018-10-08Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-DataOuaro,Stanislas Anisotropic variable exponent entropy solution electrorheological fluids We study the anisotropic boundary value problem <img border=0 width=344 height=62 src="http:/fbpe/img/cubo/v12n1/art12-01.jpg">on <img border=0 width=18 height=21 src="http:/fbpe/img/cubo/v12n1/img30.jpg"><img border=0 width=20 height=22 src="http:/fbpe/img/cubo/v12n1/img11.jpg">, where <img border=0 width=20 height=22 src="http:/fbpe/img/cubo/v12n1/img11.jpg">is a smooth open bounded domain in <img border=0 width=238 height=29 src="http:/fbpe/img/cubo/v12n1/art12-02.jpg">. We prove the existence and uniqueness of an entropy solution for this problem.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.1 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100012en10.4067/S0719-06462010000100012
institution Scielo Chile
collection Scielo Chile
language English
topic Anisotropic
variable exponent
entropy solution
electrorheological fluids
spellingShingle Anisotropic
variable exponent
entropy solution
electrorheological fluids
Ouaro,Stanislas
Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data
description We study the anisotropic boundary value problem <img border=0 width=344 height=62 src="http:/fbpe/img/cubo/v12n1/art12-01.jpg">on <img border=0 width=18 height=21 src="http:/fbpe/img/cubo/v12n1/img30.jpg"><img border=0 width=20 height=22 src="http:/fbpe/img/cubo/v12n1/img11.jpg">, where <img border=0 width=20 height=22 src="http:/fbpe/img/cubo/v12n1/img11.jpg">is a smooth open bounded domain in <img border=0 width=238 height=29 src="http:/fbpe/img/cubo/v12n1/art12-02.jpg">. We prove the existence and uniqueness of an entropy solution for this problem.
author Ouaro,Stanislas
author_facet Ouaro,Stanislas
author_sort Ouaro,Stanislas
title Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data
title_short Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data
title_full Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data
title_fullStr Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data
title_full_unstemmed Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data
title_sort well-posedness results for anisotropic nonlinear elliptic equations with variable exponent and l¹-data
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100012
work_keys_str_mv AT ouarostanislas wellposednessresultsforanisotropicnonlinearellipticequationswithvariableexponentandl1data
_version_ 1714206763630198784

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