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dc.contributor.CRUESPUniversidade Estadual de Campinaspt_BR
dc.typeArtigo de periódicopt_BR
dc.titleOn the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-spacept_BR
dc.contributor.authorFerreira, LCFpt_BR
dc.contributor.authorMedeiros, ESpt_BR
dc.contributor.authorMontenegro, Mpt_BR
unicamp.author.emaillcff@ime.unicamp.brpt_BR
unicamp.author.emaileveraldo@mat.ufpb.brpt_BR
unicamp.author.emailmsm@ime.unicamp.brpt_BR
unicamp.authorFerreira, Lucas C. F. Montenegro, Marcelo Univ Estadual Campinas, Dept Matemat, IMECC, BR-13083859 Campinas, SP, Brazilpt_BR
unicamp.authorMedeiros, Everaldo S. Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazilpt_BR
dc.subject.wosVorticespt_BR
dc.description.abstractWe study the Laplace equation in the half-space with a nonlinear supercritical Robin boundary condition on , where n a parts per thousand yen 3 and lambda a parts per thousand yen 0. Existence of solutions is obtained by means of a fixed point argument for a small data . The indexes p, q are chosen for the norm to be invariant by scaling of the boundary problem. The solution u is positive whether f(x) > 0 a.e. . When f is radially symmetric, u is invariant under rotations around the axis {x (n) = 0}. Moreover, in a certain L (q) -norm, we show that solutions depend continuously on the parameter lambda a parts per thousand yen 0.pt
dc.relation.ispartofCalculus Of Variations And Partial Differential Equationspt_BR
dc.relation.ispartofabbreviationCalc. Var. Partial Differ. Equ.pt_BR
dc.publisher.cityNew Yorkpt_BR
dc.publisher.countryEUApt_BR
dc.publisherSpringerpt_BR
dc.date.issued2013pt_BR
dc.date.monthofcirculationJULpt_BR
dc.identifier.citationCalculus Of Variations And Partial Differential Equations. Springer, v. 47, n. 41732, n. 667, n. 682, 2013.pt_BR
dc.language.isoenpt_BR
dc.description.volume47pt_BR
dc.description.issuenumber41732pt_BR
dc.description.firstpage667pt_BR
dc.description.lastpage682pt_BR
dc.rightsfechadopt_BR
dc.rights.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0pt_BR
dc.sourceWeb of Sciencept_BR
dc.identifier.issn0944-2669pt_BR
dc.identifier.wosidWOS:000320884800009pt_BR
dc.identifier.doi10.1007/s00526-012-0531-2pt_BR
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)pt_BR
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)pt_BR
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)pt_BR
dc.description.sponsorship1Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)pt_BR
dc.description.sponsorship1Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)pt_BR
dc.description.sponsorship1Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)pt_BR
dc.description.sponsordocumentnumberFAPESP [2010/19098-2]pt
dc.date.available2014-07-30T17:53:02Z
dc.date.available2015-11-26T17:41:44Z-
dc.date.accessioned2014-07-30T17:53:02Z
dc.date.accessioned2015-11-26T17:41:44Z-
dc.description.provenanceMade available in DSpace on 2014-07-30T17:53:02Z (GMT). No. of bitstreams: 0 Previous issue date: 2013en
dc.description.provenanceMade available in DSpace on 2015-11-26T17:41:44Z (GMT). No. of bitstreams: 0 Previous issue date: 2013en
dc.identifier.urihttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68704
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/68704-
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