Existence of infinitely many solutions to a class of Kirchhoff-Schrodinger-Poisson system

In this paper, we consider the existence of infinitely many solutions to following nonlinear Kirchhoff-Schrodinger-Poisson system {(a + b integral(3)(R)[vertical bar del u vertical bar(2) + V(x)u(2)]) [-Delta u + V(x)u] + lambda l(x)phi u = f (x, u), x is an element of R-3, -Delta phi = lambda l(x)u(2), x is an element of R-3, where constants a > 0; b >= 0 and lambda >= 0. When f has sublinear growth in u, we obtain infinitely many solutions under certain assumption that V do not have a positive lower bound. The technique we use in this paper is the symmetric mountain pass theorem established by Kajikiya (2005). (C) 2015 Elsevier Inc. All rights reserved.