In this paper, we study the nonlocal equation ∫RN|u(x)|2dxγΔu=λu+μ|u|q−2u+|u|p−2u, xinRN having a prescribed mass ∫RN|u(x)|2dx=c2, where N≥3, μ, γ∈(0,+∞), q∈(2,2∗), c is positive constant, p, q∈(2,2∗) with p≠q and 2∗=2NN−2. This research meaningful from physical point of view. Using variational methods, present some results on nonexistence existence solutions under different cases p q which imp...