Author(s)

Yaolan Tang, Qiongfen Zhang^*

College of Science, Guilin University of Technology, Guilin, China.

This paper mainly discusses the following equation: where the potential function V : R³ → R, α ∈ (0,3), λ > 0 is a parameter and I_α 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.

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

Tang, Y. and Zhang, Q. (2022) Ground State Solutions for a Kind of Schrödinger-Poisson System with Upper Critical Exponential Convolution Term. Journal of Applied Mathematics and Physics, 10, 576-588. doi: 10.4236/jamp.2022.102042.