Solution of perturbed Schrödinger system with critical nonlinearity and electromagnetic fields

In this paper, we consider the following perturbed nonlinear Schrödinger system with electromagnetic fields where N ≥ 3, 2 ^蜧 = 2N ∕ (N ? 2) is the Sobolev critical exponent; A is the real vector magnetic potential; and V (x), K(x), and H(s,t) are continuous functions. Under certain conditions on V, H, and K, we establish some new results on the existence of the least‐energy solutions (u_?,v_?) for small ? by using variational method. Copyright © 2012 John Wiley & Sons, Ltd.