Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity

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Autor(es): dc.creatorFigueiredo, Giovany de Jesus Malcher-
Autor(es): dc.creatorMoreira Neto, Sandra-
Autor(es): dc.creatorRuviaro, Ricardo-
Data de aceite: dc.date.accessioned2024-10-23T16:13:30Z-
Data de disponibilização: dc.date.available2024-10-23T16:13:30Z-
Data de envio: dc.date.issued2022-10-05-
Data de envio: dc.date.issued2022-10-05-
Data de envio: dc.date.issued2021-09-01-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/45002-
Fonte completa do material: dc.identifierhttps://doi.org/10.1063/5.0015513-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0003-1697-1592-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/902934-
Descrição: dc.descriptionIn this paper, we prove the existence of at least two nontrivial solutions for a class of quasilinear problems with two non-negative and continuous potentials. Thanks to the geometries of these potentials, we are able to prove compact embeddings in some weighted Sobolev spaces, and by a minimization argument, we find a positive and a nodal (or sign-changing) (weak) solution with two nodal domains or that changes the sign exactly once in ℝ𝑁 for such problems. The nonlinearity in this problem satisfies suitable growth and monotonicity conditions, which allow this result to complement the classical results due to Liu, Wang, and Wang [Commun. Partial Differ. Equations 29, 879–901 (2004)].-
Descrição: dc.descriptionInstituto de Ciências Exatas (IE)-
Descrição: dc.descriptionDepartamento de Matemática (IE MAT)-
Publicador: dc.publisherAIP Publishing-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectSchrödinger, Equação de-
Palavras-chave: dc.subjectEquações quasilineares-
Título: dc.titleExistence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity-
Tipo de arquivo: dc.typelivro digital-
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