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In this paper, we are concerned with a class of fractional Schrödinger-Poisson system involving subcritical or critical nonlinearities. By using the Nehari manifold and variational methods, we obtain the existence and multiplicity of nontrivial solutions. KEYWORDS critical Sobolev exponents, fractional Schrödinger-Poisson system, Nehari manifold, variational methods MSC CLASSIFICATION 35A15; 35J60; 35R11; 35R09 { −Δu + V(x)u + (x)u = (x, u), x ∈ R 3 , −Δ = u 2 , x ∈ R 3 .

In this article, we study one a nonlocal problem of p-Kirchhoff type with Hardy nonlinearities. We obtain some existence results of solutions using variational methods and Nehari manifold under different cases.