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(-?)As denotes the fractional magnet,ic Laplacian operator,?>0,?>0,3/40.By means of nonsmooth analysis theory,We show that when ?is small enough,the above system has a positive solution with negative energy,and it is worth mentioning that p can be supercritical.