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

Maia, Liliane de Almeida; Rodrigues, Mayra Soares Costa

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Maia, Liliane de Almeida	-
dc.contributor.author	Rodrigues, Mayra Soares Costa	-
dc.date.accessioned	2021-06-17T16:30:25Z	-
dc.date.available	2021-06-17T16:30:25Z	-
dc.date.issued	2020	-
dc.identifier.citation	MAIA, 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.uri	https://repositorio.unb.br/handle/10482/41191	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	A note on nonlinear Schrödinger equations : the relation between spectral gaps and the nonlinearity	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Schrödinger, Equação de	pt_BR
dc.subject.keyword	Métodos variacionais	pt_BR
dc.subject.keyword	Teoria espectral	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jmaa.2020.124509	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/abs/pii/S0022247X20306715#!	pt_BR
dc.description.abstract1	We 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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