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.
"Ground States for the Schrödinger Systems with Harmonic Potential and Combined Power-Type Nonlinearities." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/317571