Ground States for the Schrödinger Systems with Harmonic Potential and Combined Power-Type Nonlinearities

الملخص EN

We consider a class of coupled nonlinear Schrödinger systems with potential terms and combined power-type nonlinearities.

We establish the existence of ground states, by using a variational method.

As an application, some symmetry results for ground states of Schrödinger systems with harmonic potential terms are obtained.