Ground state solutions for the non-linear fractional Schrodinger-Poisson system

In this paper, we study the existence of ground state solutions for the non-linear fractional Schrodinger-Poisson system where , . Under certain assumptions on V, the existence of a nontrivial ground state solution is established using a monotonicity trick and global compactness Lemma. As its supplementary results, we prove some nonexistence results in the case of and .