Multiple Solutions for a Class of Fractional Schrödinger-Poisson System

Abstract EN

We investigate a class of fractional Schrödinger-Poisson system via variational methods.

By using symmetric mountain pass theorem, we prove the existence of multiple solutions.

Moreover, by using dual fountain theorem, we prove the above system has a sequence of negative energy solutions, and the corresponding energy values tend to 0.

These results extend some known results in previous papers.