An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system

Abstract

In this paper, we study the existence of infinitely many weak solutions to a fractional Kirchhoff–Schrödinger–Poisson system involving a weak singularity, i.e. when . Further, we obtain the existence of a solution with a strong singularity, i.e. when . We employ variational techniques to prove the existence and multiplicity results. Moreover, an estimate is obtained by using the Moser iteration method.