Multiplicity and concentration of positive solutions for the Schrodinger-Poisson equations

This paper is concerned with the multiplicity and concentration of positive solutions for the nonlinear Schrodinger Poisson equations {-epsilon(2)Delta u + V(x)u + phi(x)u = f(u) in R-3, -epsilon(2)Delta phi = u(2) in R-3, u is an element of H-1(R-3), u(x) > 0, for all(x) is an element of R-3, where epsilon > 0 is a parameter, V : R-3 -> R is a continuous function and f : R -> R is a C-1 function having subcritical growth. The proof of the main result is based on minimax theorems and the Ljusternik-Schnirelmann theory.