A parameterized quasilinear Schrödinger equation with indefinite potentials

Giacomoni, Jacques; Santos, Carlos Alberto; Yang, Minbo; Zhou, Jiazheng

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Élément Dublin Core	Valeur	Langue
dc.contributor.author	Giacomoni, Jacques	-
dc.contributor.author	Santos, Carlos Alberto	-
dc.contributor.author	Yang, Minbo	-
dc.contributor.author	Zhou, Jiazheng	-
dc.date.accessioned	2022-08-22T22:59:27Z	-
dc.date.available	2022-08-22T22:59:27Z	-
dc.date.issued	2020	-
dc.identifier.citation	GIACOMONI, Jacques et al. A parameterized quasilinear Schrödinger equation with indefinite potentials. Nonlinear Analysis, v. 192, art. 111703, 2020. DOI 10.1016/j.na.2019.111703. Disponível em: https://www.sciencedirect.com/science/article/pii/S0362546X19303566?via%3Dihub. Acesso em: 22 ago.2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/44618	-
dc.language.iso	Inglês	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	A parameterized quasilinear Schrödinger equation with indefinite potentials	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Schrödinger, Equação de	pt_BR
dc.subject.keyword	Potencial indefinido	pt_BR
dc.subject.keyword	Grupos críticos	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.na.2019.111703	pt_BR
dc.description.abstract1	In this paper we consider the existence of solutions for the quasilinear Schrödinger equation −∆u − k∆[(1 + u2) 1/2] u 2(1 + u2)1/2 + V (x)u = g(u) in H1 (RN ) ∩ L∞ loc(RN ), where N ≥ 3, V is a continuous potential allowed to be indefinite, g is a subcritical growth function, and k is a real parameter. By using local linking arguments and computing the critical groups of the energy functional, we obtain the existence of nontrivial solution for the equation.	pt_BR
dc.contributor.email	mailto:jacques.giacomoni@univ-pau.fr	pt_BR
dc.contributor.email	mailto:csantos@unb.br	pt_BR
dc.contributor.email	mailto:mbyang@zjnu.edu.cn	pt_BR
dc.contributor.email	mailto:jiazzheng@gmail.com	pt_BR
Collection(s) :	MAT - Artigos publicados em periódicos e preprints