ABSTRACT
In this paper, we deal with the existence and multiplicity of sign-changing solutions for fractional Schrödinger–Poisson system:
(℘)
(℘) where
,
and f is a continuous function. Based on perturbation approach and the method of invariant sets of descending flow, we obtain the existence and multiplicity of
sign-changing solutions of system (
). In addition, by applying the constrained variational method incorporated with Brouwer degree theory, we prove that system (
) possesses at least one
ground state sign-changing solution. Furthermore, we show that the least energy of sign-changing solutions exceed twice than the least energy, and when f is odd, system (
) admits infinitely many nontrivial solutions.
Disclosure statement
No potential conflict of interest was reported by the author(s).