GROUND STATE SOLUTIONS FOR NONLINEAR SCHRODINGER-BOPP-PODOLSKY BOPP-PODOLSKY SYSTEMS WITH NONPERIODIC POTENTIALS

In this article we study the existence of ground-state solutions for the Schrodinger-Bopp-Podolsky equations -Delta u + V(x)u + phi u = f(x,u) in R-3 -Delta phi + a(2)Delta(2)phi = 4 pi u(2) in R-3, where V is an element of C(R-3,R) has different forms on the half spaces, i.e. V(x) = V-1(x) for x(1 )> 0, and V(x) = V-2(x) for x(1 )< 0, where V-1,V-2 is an element of C(R-3) are periodic in each coordinate. The nonlinearity f is superlinear at infinity with subcritical or critical growth.