Existence And Multiplicity Of Solutions For The Fractional Schr（?）dinger-Poisson Systems With And Without Magnetic Fields

In this thesis,we consider firstly the following fractional Schrodinger-Poisson system with critical term and magetic field where（-Δ）As denotes the fractional magnet,ic Laplacian operator,ε>0,λ>0,3/40.By means of nonsmooth analysis theory,We show that when μis small enough,the above system has a positive solution with negative energy,and it is worth mentioning that p can be supercritical.