Long time dynamics of the 3D radial NLS with the combined terms

In this paper, we study the scattering and blow-up dichotomy result of the radial solution to nonlinear Schrödinger equation (NLS) with the combined terms iut+.u=.|u|4u+|u|p.1u,1+43<p<5 in energy space H 1(.3). The threshold energy is the energy of the ground state W of the focusing, energy critical NLS, which means that the subcritical perturbation does not affect the determination of threshold, but affects the scattering and blow-up dichotomy result with subcritical threshold energy. This extends algebraic perturbation in a previous work of Miao, Xu and Zhao [Comm. Math. Phys., 318, 767.808 (2013)] to all mass supercritical, energy subcritical perturbation.