Existence of non-trivial solutions for nonlinear fractional   Schr\"{o}dinger-Poisson equations
  We prove the existence of non-trivial solutions for a fractional Schr$\ddot{o}$dinger-Poisson equation in $\mathbb{R}^{3}$. The proof is based on the perturbation method and the mountain pass theorem. 
Kexue Li
math.AP