Please use this identifier to cite or link to this item:
Full metadata record
DC FieldValueLanguage
dc.contributor.authorBueno, H.-
dc.contributor.authorErcole, Grey-
dc.contributor.authorFerreira, Wenderson Marques-
dc.contributor.authorSantos, Antônio Zumpano Pereira-
dc.identifier.citationBUENO, H. et al. Existence and multiplicity of positive solutions for the p-Laplacian with nonlocal coefficient. Journal of Mathematical Analysis and Applications, v. 343, p. 151-158, 2008. Disponível em: <>. Acesso em: 10 mar. 2015.pt_BR
dc.description.abstractWe consider the Dirichlet problem with nonlocal coefficient given by −a(Ω|u|q dx)_pu = w(x)f (u) in a bounded, smooth domain Ω ⊂ Rn (n _ 2), where _p is the p-Laplacian, w is a weight function and the nonlinearity f (u) satisfies certain local bounds. In contrast with the hypotheses usually made, no asymptotic behavior is assumed on f . We assume that the nonlocal coefficient a(_Ω|u|q dx) (q _ 1) is defined by a continuous and nondecreasing function a : [0,∞)→[0,∞) satisfying a(t) > 0 for t > 0 and a(0) _ 0. A positive solution is obtained by applying the Schauder Fixed Point Theorem. The case a(t) = tγ/q (0 < γ < p − 1) will be considered as an example where asymptotic conditions on the nonlinearity provide the existence of a sequence of positive solutions for the problem with arbitrarily large sup norm.pt_BR
dc.subjectNonlocal coefficientpt_BR
dc.subjectExistence and multiplicity of positive solutionspt_BR
dc.titleExistence and multiplicity of positive solutions for the p-Laplacian with nonlocal coefficient.pt_BR
dc.typeArtigo publicado em periodicopt_BR
dc.rights.licenseO periódico Journal of Mathematical Analysis and Applications concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3584830060213.pt_BR
Appears in Collections:DEMAT - Artigos publicados em periódicos

Files in This Item:
File Description SizeFormat 
ARTIGO_ExistenceMultiplicityPositive.pdf144,01 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.