Ground state solutions for the nonlinear Schrödinger-Bopp-Podolsky systems with nonperiodic potentials

In this article we study the existence of ground-state solutions for the Schrodinger-Bopp-Podolsky equations -Δ u+V(x) u+φ u =f(x,u) R³-Δ φ+a²Δ²φ =4π u² R³, where \(V∈ C(R^3,R)\) 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 \(V_1,V_2∈ C( R^3)\) are periodic in each coordinate. The nonlinearity \(f\) is superlinear at infinity with subcritical or critical growth. For more information see https://ejde.math.txstate.edu/Volumes/2024/43/abstr.html