On a Class of Choquard–SchröDinger–Poisson Systems Involving p ‐Laplacian

ABSTRACT In this paper, we study a class of Choquard–Schrödinger–Poisson systems with local perturbation. Unlike other existing works, this system is one coupled by Schrödinger–Poisson systems of ‐Laplacian with a Choquard equation. In addition, the nonlinearity property combines both convex and concave terms. Our main contribution is to consider specific conditions on the parameters and taking into account the interaction between ‐Laplacian and the nonlocal term , which brings us some difficulties. Indeed, by using a variational approach, we show the existence of a local minimum and a mountain pass‐type solution.