Existence of ground state solutions for a class of nonlinear fractional Schrodinger-Poisson systems with super-quadratic nonlinearity

摘要

In this paper, we study the existence of ground state solutions for the nonlinear fractional Schrodinger-Poisson system (-) su + u + fu = f (u), in R3, (-) tf = u2, in R3, where 0 s = t 1 and 2s + 2t 3. Under a mild assumption on f with lim| u|.8 u 0 f (t) dt | u| 3 = 8, using a direct approach and the Pohozaev identity, we prove the existence of ground state solutions.