Ground state solution for a class of Schrödinger–Poisson-type systems with partial potential

In this paper, we consider the existence of positive ground state solution for a class of Schrödinger–Poisson-type systems with both nonlinear critical growth and nonlocal critical growth when the coefficient of the potential function is neither coercive nor periodic and asymptotic periodic. The usual concentration–compactness method is invalid; hence, we employ the modified concentration–compactness principle and mountain pass theorem to deal with the system.