ABSTRACT
In this paper, we study the existence of ground state solutions for the non-linear fractional Schrödinger–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
.
Acknowledgements
The author wishes to express their gratitude to the anonymous referee for their careful reading and valuable suggestions.
Notes
No potential conflict of interest was reported by the author.