Multiple Positive Bound State Solutions for Fractional Schrodinger-Poisson System with Critical Nonlocal Term

For the fractional Schrodinger-Poisson system with nonlocal critical exponent { (-Delta)(s)u + (V(x) + lambda)u = phi|u|(2)*(s -3) u, x is an element of R-3, (-Delta)(s) phi = vertical bar u vertical bar(2*s) (-1), x is an element of R-3, where s is an element of (1/2, 3/4), 2*(s) = 6/3-2s is the fractional critical Sobolev exponent and V( x) is an element of L-3/2s (R-3) is a nonnegative potential, combining with Variational methods and Brouwer degree theory, we investigate the existence and multiplicity of positive bound solutions if lambda > 0 is small. These results extend and improve some recent works with nonlocal critical exponent.