Ground state solutions for Schrodinger-Poisson systems involving the fractional Laplacian with critical exponent

In this paper, by using the concentration compactness principle and variational method, the existence of ground state solution of the Pohozaev type for a class of fractional Schrodinger-Poisson type systems with nonlocal critical growth is obtained. A key ingredient of the proof is to estimate the minimum energy level on the Pohozaev manifold. Published under license by AIP Publishing.