Multiplicity results for an anisotropic equation with subcritical or critical growth

In this work we show some multiplicity results for the anisotropic equation − XN i=1 ∂ ∂xi ∂u ∂xi pi−2 ∂u ∂xi = gλ(u) in Ω, and u = 0 on ∂Ω, where Ω ⊂ℝN is a bounded smooth domain, 1 < p1 ≤ p2 ≤ . . . ≤ pN and λ is a positive parameter. Using genus theory, we study the subcritical case gλ(u) = λ|...

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Autores: Malcher Figueiredo, Giovany de Jesus, Rodrigues dos Santos Júnior, Joao, Suárez Fernández, Antonio
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47890
Acceso en línea:http://hdl.handle.net/11441/47890
https://doi.org/10.1515/ans-2015-0206
Access Level:acceso abierto
Palabra clave:Anisotropic operator
Genus theory
Subcritical or critical growth
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spelling Multiplicity results for an anisotropic equation with subcritical or critical growthMalcher Figueiredo, Giovany de JesusRodrigues dos Santos Júnior, JoaoSuárez Fernández, AntonioAnisotropic operatorGenus theorySubcritical or critical growthIn this work we show some multiplicity results for the anisotropic equation − XN i=1 ∂ ∂xi ∂u ∂xi pi−2 ∂u ∂xi = gλ(u) in Ω, and u = 0 on ∂Ω, where Ω ⊂ℝN is a bounded smooth domain, 1 < p1 ≤ p2 ≤ . . . ≤ pN and λ is a positive parameter. Using genus theory, we study the subcritical case gλ(u) = λ|u|q−2u with q ∈ (1, pN) and the critical case gλ(u) = λ|u|q−2u +|u|p*−2u with q ∈ (1, p1) and p* = N| p̅/(N−p̅), with p̅ the harmonic mean of the pi’s.PROCAD/CASADINHOConselho Nacional de Desenvolvimento Científico e TecnológicoCoordenação de aperfeiçoamento de pessoal de nivel superiorMinisterio de Ciencia e InnovaciónFondo Europeo de Desarrollo RegionalDe GruyterEcuaciones Diferenciales y Análisis NuméricoFQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/47890https://doi.org/10.1515/ans-2015-0206reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésAdvanced Nonlinear Studies, 15 (2), 377-394.552101/2011-7301242/2011-9200237/2012-87155123/2012-9MTM 2012-31304https://www.degruyter.com/view/j/ans.2015.15.issue-2/ans-2015-0206/ans-2015-0206.xmlinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/478902026-06-17T12:51:07Z
dc.title.none.fl_str_mv Multiplicity results for an anisotropic equation with subcritical or critical growth
title Multiplicity results for an anisotropic equation with subcritical or critical growth
spellingShingle Multiplicity results for an anisotropic equation with subcritical or critical growth
Malcher Figueiredo, Giovany de Jesus
Anisotropic operator
Genus theory
Subcritical or critical growth
title_short Multiplicity results for an anisotropic equation with subcritical or critical growth
title_full Multiplicity results for an anisotropic equation with subcritical or critical growth
title_fullStr Multiplicity results for an anisotropic equation with subcritical or critical growth
title_full_unstemmed Multiplicity results for an anisotropic equation with subcritical or critical growth
title_sort Multiplicity results for an anisotropic equation with subcritical or critical growth
dc.creator.none.fl_str_mv Malcher Figueiredo, Giovany de Jesus
Rodrigues dos Santos Júnior, Joao
Suárez Fernández, Antonio
author Malcher Figueiredo, Giovany de Jesus
author_facet Malcher Figueiredo, Giovany de Jesus
Rodrigues dos Santos Júnior, Joao
Suárez Fernández, Antonio
author_role author
author2 Rodrigues dos Santos Júnior, Joao
Suárez Fernández, Antonio
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software
dc.subject.none.fl_str_mv Anisotropic operator
Genus theory
Subcritical or critical growth
topic Anisotropic operator
Genus theory
Subcritical or critical growth
description In this work we show some multiplicity results for the anisotropic equation − XN i=1 ∂ ∂xi ∂u ∂xi pi−2 ∂u ∂xi = gλ(u) in Ω, and u = 0 on ∂Ω, where Ω ⊂ℝN is a bounded smooth domain, 1 < p1 ≤ p2 ≤ . . . ≤ pN and λ is a positive parameter. Using genus theory, we study the subcritical case gλ(u) = λ|u|q−2u with q ∈ (1, pN) and the critical case gλ(u) = λ|u|q−2u +|u|p*−2u with q ∈ (1, p1) and p* = N| p̅/(N−p̅), with p̅ the harmonic mean of the pi’s.
publishDate 2015
dc.date.none.fl_str_mv 2015
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 http://hdl.handle.net/11441/47890
https://doi.org/10.1515/ans-2015-0206
url http://hdl.handle.net/11441/47890
https://doi.org/10.1515/ans-2015-0206
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Advanced Nonlinear Studies, 15 (2), 377-394.
552101/2011-7
301242/2011-9
200237/2012-8
7155123/2012-9
MTM 2012-31304
https://www.degruyter.com/view/j/ans.2015.15.issue-2/ans-2015-0206/ans-2015-0206.xml
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 De Gruyter
publisher.none.fl_str_mv De Gruyter
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 15.301629

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