In this paper, we use variant fountain theorems to study the existence of infinitely many solutions for the fractional p-Laplacian equation (-) α p u + λV(x)|u| p-2 u = f (x, u)-μg(x)|u| q-2 u, x ∈ R N , where λ, μ are two positive parameters, N, p ≥ 2, q ∈ (1, p), α ∈ (0, 1), (-) α