Alves, C.O. and Souto, M.A. (2013) Existence of Solutions for a Class of Nonlinear Schrödinger Equations with Potential Vanishing at Infinity. Journal of Differential Equations, 254, 1977-1991.
https://doi.org/10.1016/j.jde.2012.11.013

has been cited by the following article:

• TITLE: Existence of the Solutions for a Class of Quasilinear Schrödinger Equations with Nonlocal Term

  AUTHORS: Renqing You, Peng Liao

  KEYWORDS: Quasilinear Schrödinger Equation, Nontrivial Solution, Variational Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.11, November 10, 2022

  ABSTRACT: In this paper, we deal with the existence of solution for a class of quasilinear Schrödinger equations with a nonlocal term Where μ ∈ (0,3), the function K,V ∈ C(R3,R+) and V(x) may be vanish at infinity, g is a C1 even function with g’(t) ≤ 0 for all t ≥ 0, g(0) = 1, , 0 a F is the primitive function of f which is superlinear but subcritical at infinity in the sense of Hardy-littlewood-Sobolev inequality. By the mountain pass theorem, we prove that the above equation has a nontrivial solution.