dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv Fed Juiz de Fora
dc.contributorCtr Fed Educ Tecnol Minas Gerais
dc.creatorBastos, Waldemar D. [UNESP]
dc.creatorMiyagaki, Olimpio H.
dc.creatorVieira, Ronei S.
dc.date2015-03-18T15:52:55Z
dc.date2015-03-18T15:52:55Z
dc.date2014-12-01
dc.date.accessioned2023-09-09T11:01:35Z
dc.date.available2023-09-09T11:01:35Z
dc.identifierhttp://dx.doi.org/10.1007/s00032-014-0224-8
dc.identifierMilan Journal Of Mathematics. Basel: Springer Basel Ag, v. 82, n. 2, p. 213-231, 2014.
dc.identifier1424-9286
dc.identifierhttp://hdl.handle.net/11449/116243
dc.identifier10.1007/s00032-014-0224-8
dc.identifierWOS:000345142800002
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8765730
dc.descriptionWe establish a result on the existence of a positive solution for the following class of degenerate quasilinear elliptic problems:(P) {-Delta(up)u + V(x)vertical bar x vertical bar-(ap+)vertical bar u vertical bar(p-2)u = K(x)f(x, u), in R-N, u > 0, in R-N, u epsilon D-u(1,p)(R-N),where -Delta(ap)u = -div(vertical bar x vertical bar(-ap)vertical bar del u vertical bar(p-2)del u), 1 < p < N, -infinity < a < N-p/p, a <= e <= a + 1, d = 1 + a - e, and p* := p*(a, e) = Np/N-dp denotes the Hardy-Sobolev's , and denotes the Hardy-Sobolev's critical exponent, V and K are bounded nonnegative continuous potentials, K vanishes at infinity, and f has a subcritical growth at infinity. The technique used here is the variational approach.
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)
dc.descriptionCentro Federal de Educacao Tecnologica de Minas Gerais/Brazil
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionUniv Estadual Paulista, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.descriptionUniv Fed Juiz de Fora, BR-36036330 Juiz De Fora, MG, Brazil
dc.descriptionCtr Fed Educ Tecnol Minas Gerais, BR-35503822 Divinopolis, MG, Brazil
dc.descriptionUniv Estadual Paulista, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.descriptionFAPEMIG: CEX-APQ 00025-11
dc.format213-231
dc.languageeng
dc.publisherSpringer
dc.relationMilan Journal Of Mathematics
dc.relation0.781
dc.relation0,544
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectPositive solutions
dc.subjectSchrodinger operator
dc.subjectVariational methods for second-order elliptic equations
dc.subjectDegenerate elliptic equations
dc.titlePositive Solution for a Class of Degenerate Quasilinear Elliptic Equations in R-N
dc.typeArtigo


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