摘要

In this paper, we study the following coupled nonlinear Schrodinger system of the form @@@ {-Delta u(i) - kappa(i)u(i) = g(i)(u(i)) + lambda partial derivative i(F)((u) over right arrow), (u) over right arrow = (u(1), u(2),..., u(m)), ui is an element of D-0(1,2)(Omega), @@@ for m = 2, 3, where Omega subset of R-N is a bounded domain or R-N, N >= 3, F(t(1), t(2) ..., t(m)) is an element of C-1(R-m, R), kappa(i). R, g(i) is an element of C(R) (i = 1, 2, ..., m) and lambda > 0 is large enough. In this work we mainly focus on the existence of fully nontrivial ground-state solutions and synchronized ground-state solutions under certain conditions.