Multiple normalized solutions for a competing system of Schrödinger equations (Q1755634)

This paper establishes an existence property for a class of nonlinear Schrödinger semilinear elliptic systems. The main result of this paper establishes a sufficient condition for the existence of infinitely many positive solutions. Moreover, it is established that these solutions have higher and higher corresponding energies. The proof is based on a new minimax argument, which is suited to deal with normalization conditions.