Abstract
This paper is concerned with the following fractional Schrödinger–Poisson system:
where
is a parameter,
,
,
,
is allowed to be sign-changing and f is an indefinite function. We require that
with
having a potential well Ω whose depth is controlled by λ and
for all
. Under some suitable assumptions on
and
, we prove that the above system has at least two nontrivial solutions. Moreover, the phenomenon of concentration of the solutions is also explored.
Acknowledgments
The authors thank the referees for carefully reading the manuscript, giving valuable comments and suggestions to improve the results as well as the exposition of this paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).