POSITIVE GROUND STATE SOLUTIONS OF ASYMPTOTICALLY LINEAR SCHRODINGER-POISSON SYSTEMS

In this paper, we study the following Schrodinger-Poisson system: {-Delta u + V(x)u + lambda phi(x)u = q(x) f (u), in R-3, -Delta phi = lambda u(2), in R-3, where V(x) is a real function on R-3 and the parameter A is an element of (0, +infinity), the nonlinearity f (s)/s tends to 0 and l is an element of (0, +infinity), respectively, as s -> 0(+) and s -> +infinity. Under appropriate assumptions on V, q and f, we give the existence of a positive ground state solution resolved by variational methods, which depends on the parameter lambda.