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Alves, C.O. and Souto, M.A.S. (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 Result for Fractional Klein-Gordon-Maxwell System with Quasicritical Potential Vanishing at Infinity

  AUTHORS: Canlin Gan, Ting Xiao, Qiongfen Zhang

  KEYWORDS: Vanishing Potential, Fractional Klein-Gordon-Maxwell System, Variational Methods, Ground State Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.7, July 22, 2020

  ABSTRACT: The following fractional Klein-Gordon-Maxwell system is studied (-Δ)p stands for the fractional Laplacian, ω > 0 is a constant, V is vanishing potential and K is a smooth function. Under some suitable conditions on K and f, we obtain a Palais-Smale sequence by using a weaker Ambrosetti-Rabinowitz condition and prove the ground state solution for this system by employing variational methods. In particular, this kind of problem is a vast range of applications and challenges.