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.