ORBITAL STABILITY FOR SCHRDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES

We prove the existence and the orbital stability of standing waves for the nonau- tonomous Schrdinger system iut+ua(x)u+(|u|2p+b(x)|u| p-1 |v|p+1)u = 0, x∈ R N , ivt+va(x)v+|v|2p+b(x)|v| p-1|u|p+1v = 0, x∈RN under suitable conditions on the coefficient functions a and b. We follow the idea of analyzing the compactness of minimizing sequence of the constrained minimization problems.