ABSTRACT
We consider the existence of sign-changing solutions for the following fractional Schrödinger–Poisson system
where ,
is a positive parameter,
is a continuous potential function. Since multiple nonlocal terms are involving in the system, some new techniques are applied to prove the existence of a least energy sign-changing solution
. Moreover, we prove that the energy of any sign-changing solution to this system is strictly larger than twice of the ground state energy. Furthermore, the asymptotic behavior of
as
is also analyzed.
Acknowledgements
The author would like to express his thanks to anonymous referees for their valuable comments and suggestions which improved the work.
Notes
No potential conflict of interest was reported by the author.