On coupled systems of nonlinear Schrödinger equations with critical exponential growth

Abstract

In this paper, we prove the existence of positive ground state solutions to the following class of coupled systems involving nonlinear Schrödinger equationswhere the nonlinearities and have exponential critical growth of the Trudinger–Moser type. Moreover, the coupling term satisfies . We use the minimization technique over the Nehari manifold and strong maximum principle to get a positive ground state solution.