Multiple solutions for nonhomogeneous Schrodinger-Maxwell problems in R3

In this paper, we study the nonhomogeneous Schrodinger-Maxwell problems in R-3. {-Delta u + u + (lambda) over cap (1)phi(1)(x)u = 1/sigma partial derivative F(u,v)/partial derivative u + g(x), x is an element of R-3, -Delta v + v + (lambda) over cap (2)phi(2)(x)v = 1/sigma partial derivative F(u,v)/partial derivative v + h(x), x is an element of R-3, -Delta phi(1) = u(2), x is an element of R-3, -Delta phi(2) = v(2), x is an element of R-3, where F(u, v) is a C-1 function, 2 < sigma < 6, (lambda) over cap (1), (lambda) over cap (2) > 0, 0 <= g(x), h(x) are radially symmetric functions. Using variational methods, we prove that the problems have at least two solutions provided that root 2 max {parallel to g parallel to(2), parallel to h parallel to(2)} <= c(sigma).