On certain doubly non-uniformly and singular non-uniformly elliptic systems

We consider the steady state of the thermistor problem consisting of a coupled set of nonlinear elliptic equations governing the temperature and the electric potential. We study the existence of weak solutions under two kind of assumptions. The first one considers the case in which the two diffusion...

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Detalles Bibliográficos
Autores: González Montesinos, María Teresa, Ortegón Gallego, Francisco
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2003
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/89117
Acceso en línea:https://hdl.handle.net/11441/89117
https://doi.org/10.1016/S0362-546X(03)00134-2
Access Level:acceso abierto
Palabra clave:Non-uniformly and singular elliptic systems
Nonlinear elliptic equations
Thermistor problem
Sobolev spaces
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spelling On certain doubly non-uniformly and singular non-uniformly elliptic systemsGonzález Montesinos, María TeresaOrtegón Gallego, FranciscoNon-uniformly and singular elliptic systemsNonlinear elliptic equationsThermistor problemSobolev spacesWe consider the steady state of the thermistor problem consisting of a coupled set of nonlinear elliptic equations governing the temperature and the electric potential. We study the existence of weak solutions under two kind of assumptions. The first one considers the case in which the two diffusion coefficients are not bounded below far from zero, arising to a doubly non-uniformly elliptic system. In the second one, we assume in addition that the thermal conductivity blows up for a finite value of the temperature, arising to a singular and non-uniformly coupled system.Ministerio de Educación y Cultura PB98-0583junta de Andalucía FQM-315ElsevierMatemática Aplicada IFQM-315: Análisis Teórico y Numérico de Modelos de las Ciencias Experimentales2003info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/89117https://doi.org/10.1016/S0362-546X(03)00134-2reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésNonlinear Analysis: Theory, Methods & Applications, 54 (6), 1193-1204.PB98-0583FQM-315https://www.sciencedirect.com/science/article/pii/S0362546X03001342info:eu-repo/semantics/openAccessoai:idus.us.es:11441/891172026-06-17T12:51:07Z
dc.title.none.fl_str_mv On certain doubly non-uniformly and singular non-uniformly elliptic systems
title On certain doubly non-uniformly and singular non-uniformly elliptic systems
spellingShingle On certain doubly non-uniformly and singular non-uniformly elliptic systems
González Montesinos, María Teresa
Non-uniformly and singular elliptic systems
Nonlinear elliptic equations
Thermistor problem
Sobolev spaces
title_short On certain doubly non-uniformly and singular non-uniformly elliptic systems
title_full On certain doubly non-uniformly and singular non-uniformly elliptic systems
title_fullStr On certain doubly non-uniformly and singular non-uniformly elliptic systems
title_full_unstemmed On certain doubly non-uniformly and singular non-uniformly elliptic systems
title_sort On certain doubly non-uniformly and singular non-uniformly elliptic systems
dc.creator.none.fl_str_mv González Montesinos, María Teresa
Ortegón Gallego, Francisco
author González Montesinos, María Teresa
author_facet González Montesinos, María Teresa
Ortegón Gallego, Francisco
author_role author
author2 Ortegón Gallego, Francisco
author2_role author
dc.contributor.none.fl_str_mv Matemática Aplicada I
FQM-315: Análisis Teórico y Numérico de Modelos de las Ciencias Experimentales
dc.subject.none.fl_str_mv Non-uniformly and singular elliptic systems
Nonlinear elliptic equations
Thermistor problem
Sobolev spaces
topic Non-uniformly and singular elliptic systems
Nonlinear elliptic equations
Thermistor problem
Sobolev spaces
description We consider the steady state of the thermistor problem consisting of a coupled set of nonlinear elliptic equations governing the temperature and the electric potential. We study the existence of weak solutions under two kind of assumptions. The first one considers the case in which the two diffusion coefficients are not bounded below far from zero, arising to a doubly non-uniformly elliptic system. In the second one, we assume in addition that the thermal conductivity blows up for a finite value of the temperature, arising to a singular and non-uniformly coupled system.
publishDate 2003
dc.date.none.fl_str_mv 2003
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/89117
https://doi.org/10.1016/S0362-546X(03)00134-2
url https://hdl.handle.net/11441/89117
https://doi.org/10.1016/S0362-546X(03)00134-2
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Nonlinear Analysis: Theory, Methods & Applications, 54 (6), 1193-1204.
PB98-0583
FQM-315
https://www.sciencedirect.com/science/article/pii/S0362546X03001342
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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