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dc.contributor.authorMaia, Liliane de Almeida-
dc.contributor.authorRodrigues, Mayra Soares Costa-
dc.date.accessioned2021-06-17T16:30:25Z-
dc.date.available2021-06-17T16:30:25Z-
dc.date.issued2020-
dc.identifier.citationMAIA, Liliane de A.; SOARES, Mayra. A note on nonlinear Schrödinger equations: the relation between spectral gaps and the nonlinearity. Journal of Mathematical Analysis and Applications, v. 492, n. 2, 124509, 15 dez. 2020. DOI: https://doi.org/10.1016/j.jmaa.2020.124509.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/41191-
dc.language.isoInglêspt_BR
dc.publisherElsevierpt_BR
dc.rightsAcesso Restritopt_BR
dc.titleA note on nonlinear Schrödinger equations : the relation between spectral gaps and the nonlinearitypt_BR
dc.typeArtigopt_BR
dc.subject.keywordSchrödinger, Equação dept_BR
dc.subject.keywordMétodos variacionaispt_BR
dc.subject.keywordTeoria espectralpt_BR
dc.identifier.doihttps://doi.org/10.1016/j.jmaa.2020.124509pt_BR
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S0022247X20306715#!pt_BR
dc.description.abstract1We 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.pt_BR
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