Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity

In this paper, we discuss the existence and the concentration of sign-changing solutions to a class of Kirchhoff-type systems with Hartree-type nonlinearity in R3. By the minimization argument on the sign-changing Nehari manifold and a quantitative deformation lemma, we prove that the system has a sign-changing solution. Moreover, concentration behaviors of sign-changing solutions are obtained when the coefficient of the potential function tends to infinity. Specially, our results cover general Schrödinger equations, Kirchhoff equations and Schrödinger-Poisson systems.