An indefinite elliptic problem on RN autonomous at infinity : the crossing effect of the spectrum and the nonlinearity

Maia, Liliane de Almeida; Rodrigues, Mayra Soares Costa

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Campo DC	Valor	Idioma
dc.contributor.author	Maia, Liliane de Almeida	-
dc.contributor.author	Rodrigues, Mayra Soares Costa	-
dc.date.accessioned	2021-06-17T12:26:18Z	-
dc.date.available	2021-06-17T12:26:18Z	-
dc.date.issued	2020-01-29	-
dc.identifier.citation	MAIA, Liliane A., SOARES, Mayra. An indefinite elliptic problem on RN autonomous at infinity: the crossing effect of the spectrum and the nonlinearity. Calculus of Variations and Partial Differential Equations, v. 59, art. n. 4, 2020. DOI: https://doi.org/10.1007/s00526-019-1683-0.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/41186	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	An indefinite elliptic problem on RN autonomous at infinity : the crossing effect of the spectrum and the nonlinearity	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Schrödinger, Equação de	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00526-019-1683-0	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00526-019-1683-0	pt_BR
dc.description.abstract1	We present a new approach to solve an indefinite Schrödinger Equation autonomous at infinity, by identifying the relation between the arrangement of the spectrum of the concerned operator and the behavior of the nonlinearity at zero and at infinity. The main novelty is how to set a skillful linking structure that overcome the lack of compactness, depending on the growth of the nonlinear term and making use of information about the autonomous problem at infinity. Here no monotonicity assumption is required on the nonlinearity, which may be sign-changing as well as the potential. Furthermore, depending on the nonlinearity, the limit of the potential at infinity may be non-positive, so that zero may be an interior point in the essential spectrum of the Schrödinger operator.	pt_BR
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