Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 07, pp. 1-21. Title: Ground state and multiple solutions for critical fractional Schrodinger-Poisson equations with perturbation terms Authors: Lintao Liu (Taiyuan Univ. of Technology, Shanxi, China) Kaimin Teng (Taiyuan Univ. of Technology, Shanxi, China) Abstract: In this article, we study a class of critical fractional Schrodinger-Poisson system with two perturbation terms. By using variational methods and Lusternik-Schnirelman category theory, the existence of ground state and two nontrivial solutions are established. Submitted April 10, 2020. Published February 01, 2021. Math Subject Classifications: 35R11, 35B38. Key Words: Fractional Schrodinger-Poisson system; variational methods; critical growth; Lusternik-Schnirelman category.