Titre:	A parameterized quasilinear Schrödinger equation with indefinite potentials
Auteur(s):	Giacomoni, Jacques Santos, Carlos Alberto Yang, Minbo Zhou, Jiazheng
metadata.dc.contributor.email:	mailto:jacques.giacomoni@univ-pau.fr mailto:csantos@unb.br mailto:mbyang@zjnu.edu.cn mailto:jiazzheng@gmail.com
Assunto::	Schrödinger, Equação de Potencial indefinido Grupos críticos
Date de publication:	2020
Référence bibliographique:	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.
Abstract:	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.
DOI:	https://doi.org/10.1016/j.na.2019.111703
Collection(s) :	Artigos publicados em periódicos e afins

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