A note on nonlinear Schrödinger equations : the relation between spectral gaps and the nonlinearity

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorMaia, Liliane de Almeida-
Autor(es): dc.creatorRodrigues, Mayra Soares Costa-
Data de aceite: dc.date.accessioned2021-10-14T18:20:47Z-
Data de disponibilização: dc.date.available2021-10-14T18:20:47Z-
Data de envio: dc.date.issued2021-06-17-
Data de envio: dc.date.issued2021-06-17-
Data de envio: dc.date.issued2019-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/41191-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.jmaa.2020.124509-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/629409-
Descrição: dc.descriptionWe establish the existence of a nontrivial weak solution to strongly indefinite asymptotically linear and superlinear Schrödinger equations. The novelty is to identify the essential relation between the spectrum of the operator and the behavior of the nonlinear term. Our goal is to weaken the necessary assumptions to obtain a linking structure to the problem, for instance to allow zero being in the spectrum or the nonlinearity being sign-changing. Our main difficulty is to overcome the lack of monotonicity on the nonlinear term, as well, as the lack of compactness since the domain is unbounded. With this purpose, we require periodicity on V.-
Publicador: dc.publisherElsevier-
Relação: dc.relationhttps://www.sciencedirect.com/science/article/abs/pii/S0022247X20306715#!-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectSchrodinger, Equação de-
Palavras-chave: dc.subjectMétodos variacionais-
Palavras-chave: dc.subjectTeoria espectral-
Título: dc.titleA note on nonlinear Schrödinger equations : the relation between spectral gaps and the nonlinearity-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional – UNB

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