The Existence of Ground State Solutions for a Schrodinger-Bopp-Podolsky System with Convolution Nonlinearity

In this paper, we consider the following Schr & ouml;dinger-Bopp-Podolsky system with convolution nonlinearity:{-Delta u + V(x)u + phi u = (I-alpha * F(u)) f(u), in R-3,-Delta phi+a(2)Delta(2)phi=4 pi u(2), in R-3,where alpha is an element of(0,2), I-alpha:R-3 -> R is the Riesz potential, V is an element of C (R-3, [0,infinity)), V-infinity = infinity, where sigma = alpha + 6/4. Through careful analysis of the nonlinear terms, we prove that the existence of ground state solutions and positive minimal energy solutions for the above system.