Positive ground state of coupled planar systems of nonlinear Schrödinger equations with critical exponential growth

In this paper, we prove the existence of a positive ground state solution to the following coupled system involving nonlinear Schrödinger equations: \begin{equation*} \begin{cases} -\Delta u+V_1(x)u =f_1(x,u)+\lambda(x) v,& x\in \mathbb{R}^2, \\ -\Delta v+V_2(x)v=f_2(x,v)+\lambda(x) u,& x\in...

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