Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorFurtado, Marcelo Fernandes-
Autor(es): dc.creatorSilva, Edcarlos D.-
Autor(es): dc.creatorSevero, Uberlandio B.-
Data de aceite: dc.date.accessioned2021-10-14T17:24:10Z-
Data de disponibilização: dc.date.available2021-10-14T17:24:10Z-
Data de envio: dc.date.issued2021-03-09-
Data de envio: dc.date.issued2021-03-09-
Data de envio: dc.date.issued2020-10-14-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/40196-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s00033-020-01414-5-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/607060-
Descrição: dc.descriptionWe establish the existence and multiplicity of solutions for Kirchhoff elliptic problems of type −m (∫R3|∇u|2dx) |Δu=f(x,u), x∈R3, where m:R+→R is continuous, positive and satisfies appropriate growth and/or monotonicity conditions. We consider the cases that f is asymptotically 3−linear or 3−superlinear at infinity, in an appropriated sense. By using variational methods, we obtain our results under crossing assumptions of the functions m and f with respect to limit eigenvalues problems. In the model case m(t)=a+bt, we also prove a concentration result for some solutions when b→0+.-
Publicador: dc.publisherSpringer Nature-
Relação: dc.relationhttps://link.springer.com/article/10.1007/s00033-020-01414-5-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectEquação de Kirchhoff-
Palavras-chave: dc.subjectProblemas assintoticamente lineares-
Palavras-chave: dc.subjectProblemas superlineares-
Palavras-chave: dc.subjectMétodos variacionais-
Título: dc.titleKirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional – UNB

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