Existence and multiplicity of positive solutions for the p-Laplacian with nonlocal coefficient.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorBueno, H.-
Autor(es): dc.creatorErcole, Grey-
Autor(es): dc.creatorFerreira, Wenderson Marques-
Autor(es): dc.creatorSantos, Antônio Zumpano Pereira-
Data de aceite: dc.date.accessioned2019-11-06T13:32:44Z-
Data de disponibilização: dc.date.available2019-11-06T13:32:44Z-
Data de envio: dc.date.issued2015-03-12-
Data de envio: dc.date.issued2015-03-12-
Data de envio: dc.date.issued2008-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/4597-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/557713-
Descrição: dc.descriptionWe 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.-
Idioma: dc.languageen-
Direitos: dc.rightsO Periódico Journal of Mathematical Analysis and Applications concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3584830060213.-
Palavras-chave: dc.subjectLaplacian-
Palavras-chave: dc.subjectNonlocal coefficient-
Palavras-chave: dc.subjectExistence and multiplicity of positive solutions-
Título: dc.titleExistence and multiplicity of positive solutions for the p-Laplacian with nonlocal coefficient.-
Aparece nas coleções:Repositório Institucional - UFOP

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