Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents

In this paper we study the existence of nonnegative radial ground state solutions and nontrivial radial solutions of a Schrodinger–Poisson system having weights of power type in both Schrodinger term and the Poisson term. The nonlinearity may involve with single or multiple weighted critical exponents. The main abstract methods we use are the Ekeland variational principle, the Nehari manifold method and the mountain pass theorem.