Existence of non-trivial solutions for nonlinear fractional Schrödinger-Poisson equations

Abstract

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.

References in corpus (1)

• Fractional Quantum Mechanics