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Alves, C.O., Souto, M.A.S. and Soares, S.H.M. (2017) A Sign-Changing Solution for the Schrödinger-Poisson Equation in R³. Rocky Mountain Journal of Mathematics, 47, 1-25.
https://doi.org/10.1216/RMJ-2017-47-1-1

has been cited by the following article:

• TITLE: Ground State Solutions for a Kind of Schrödinger-Poisson System with Upper Critical Exponential Convolution Term

  AUTHORS: Yaolan Tang, Qiongfen Zhang

  KEYWORDS: Convolution Nonlinearity, Schrödinger-Poisson System, Upper Critical Exponent, Ground State Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.2, February 25, 2022

  ABSTRACT: This paper mainly discusses the following equation: where the potential function V : R3 → R, α ∈ (0,3), λ > 0 is a parameter and Iα is the Riesz potential. We study a class of Schrödinger-Poisson system with convolution term for upper critical exponent. By using some new tricks and Nehair-Pohožave manifold which is presented to overcome the difficulties due to the presence of upper critical exponential convolution term, we prove that the above problem admits a ground state solution.