The quasilinear Schrödinger–Poisson system.

This paper deals with the (p, q)-Schrödinger–Poisson system, which is new and has never been considered in the literature. The uniqueness of solutions of the quasilinear Poisson equation is obtained via the Minty–Browder theorem. The variational framework of the quasilinear system is built, and nontrivial solutions of the system are obtained via the mountain pass theorem. [ABSTRACT FROM AUTHOR]