Shen, L.J. (2021) Ground State Solutions for Planar Schrödinger-Poisson System Involving Subcritical and Critical Exponential Growth with Convolution Nonlinearity. Journal of Mathematical Analysis and Applications, 495, Article ID: 124662.
https://doi.org/10.1016/j.jmaa.2020.124662

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.