A system of Schrödinger equations with general quadratic-type nonlinearities
A system of Schrödinger equations with general quadratic-type nonlinearities
In this work, we study a system of Schrödinger equations involving nonlinearities with quadratic growth. We establish sharp criterion concerned with the dichotomy global existence versus blow-up in finite time. Such a criterion is given in terms of the ground state solutions associated with the corresponding elliptic system, which in …