An existence result for singular 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 the weak singularity, i.e. when $0<\gamma <1$. Further, we obtain the existence of a solution with the strong singularity, i.e. when $\gamma >1$. We employ variational techniques to prove the existence and multiplicity results. Moreover, a $L^{\infty }$ estimate is obtained by using the Moser iteration method.

28 pages

References in corpus (2)

• Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
• Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity