dc.creator | Malcher Figueiredo, Giovany de Jesus | es |
dc.creator | Rodrigues dos Santos Júnior, Joao | es |
dc.creator | Suárez Fernández, Antonio | |
dc.date.accessioned | 2016-10-21T07:28:39Z | |
dc.date.available | 2016-10-21T07:28:39Z | |
dc.date.issued | 2015-05 | |
dc.identifier.citation | Malcher Figueiredo, G.d.J. y Rodrigues dos Santos Júnior, J. (2015). Multiplicity results for an anisotropic equation with subcritical or critical growth. Advanced Nonlinear Studies, 15 (2), 377-394. | |
dc.identifier.issn | 1536-1365 | es |
dc.identifier.issn | 2169-0375 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47890 | |
dc.description.abstract | 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. | es |
dc.description.sponsorship | PROCAD/CASADINHO | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico | es |
dc.description.sponsorship | Coordenação de aperfeiçoamento de pessoal de nivel superior | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | De Gruyter | es |
dc.relation.ispartof | Advanced Nonlinear Studies, 15 (2), 377-394. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Anisotropic operator | es |
dc.subject | Genus theory | es |
dc.subject | Subcritical or critical growth | es |
dc.title | Multiplicity results for an anisotropic equation with subcritical or critical growth | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | 552101/2011-7 | es |
dc.relation.projectID | 301242/2011-9 | es |
dc.relation.projectID | 200237/2012-8 | es |
dc.relation.projectID | 7155123/2012-9 | es |
dc.relation.projectID | MTM 2012-31304 | es |
dc.relation.publisherversion | https://www.degruyter.com/view/j/ans.2015.15.issue-2/ans-2015-0206/ans-2015-0206.xml | es |
dc.identifier.doi | 10.1515/ans-2015-0206 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software | es |
idus.format.extent | 18 p. | es |
dc.journaltitle | Advanced Nonlinear Studies | es |
dc.publication.volumen | 15 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 377 | es |
dc.publication.endPage | 394 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47890 | |