“…The Schrödinger elliptic system arises in various areas of applied mathematics and physics and has been widely studied by many authors in many contexts. In particular, many rich results on the Schrödinger elliptic system have been obtained by using nonlinear functional analysis methods such as the variational method [4][5][6][7]15,18,33,35,38], the fixed point theorem [1,12,14,16,20,21], the upper and lower solution method [13,39] and the method of moving planes [27,31].…”