| 摘 要： | In this paper, we study the existence and multiplicity of solutions for the following fractional Schr¨odinger-Poisson system:ε~(2s)(-?)~su + V(x)u + ?u = |u|~2_s~*-2 u + f(u) in R~3,ε~(2s)(-?)~s? = u~2 in R~3,(0.1)where 3/4 s 1, 2_s~*:=6/(3-2s)is the fractional critical exponent for 3-dimension, the potential V : R~3→ R is continuous and has global minima, and f is continuous and supercubic but subcritical at infinity. We prove the existence and multiplicity of solutions for System(0.1) via variational methods.
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