Solution to bilharmonic equation with vanishing potential

dc.contributor.authorBastos, Waldemar D. [UNESP]
dc.contributor.authorMiyagaki, Olimpio H.
dc.contributor.authorVieira, Ronei S.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Fed Juiz de Fora
dc.contributor.institutionCtr Fed Educ Tecnol Minas Gerais
dc.date.accessioned2015-03-18T15:56:46Z
dc.date.available2015-03-18T15:56:46Z
dc.date.issued2013-09-01
dc.description.abstractWe establish a result on the existence of nontrivial solution for the following class of biharmonic elliptic equation[GRAPHICS]where Delta(2)u = Delta(Delta u), V and K are nonnegative potentials. K vanishes at infinity and f has a subcritical growth at infinity. The technique used here is the variational approach.en
dc.description.affiliationUniv Estadual Paulista, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUniv Fed Juiz de Fora, BR-36036330 Juiz De Fora, Brazil
dc.description.affiliationCtr Fed Educ Tecnol Minas Gerais, BR-35503822 Divinopolis, MG, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)
dc.description.sponsorshipCentro Federal de Educacao Tecnologica de Minas Gerais/Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdFAPEMIG: CEX-APQ 00025-11
dc.format.extent839-854
dc.identifierhttp://projecteuclid.org/euclid.ijm/1415023513
dc.identifier.citationIllinois Journal Of Mathematics. Urbana: Univ Illinois Urbana-champaign, v. 57, n. 3, p. 839-854, 2013.
dc.identifier.issn0019-2082
dc.identifier.urihttp://hdl.handle.net/11449/117688
dc.identifier.wosWOS:000344037000010
dc.language.isoeng
dc.publisherUniv Illinois Urbana-champaign
dc.relation.ispartofIllinois Journal Of Mathematics
dc.relation.ispartofsjr0,531
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleSolution to bilharmonic equation with vanishing potentialen
dc.typeArtigo
dcterms.rightsHolderUniv Illinois Urbana-champaign
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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