On the Schrödinger--Bopp--Podolsky system with indefinite potential: ground states, multiplicity and exponential decay

Ting Xiao, Fan Wang, Li-Feng Yin

In this paper, we study the Schrödinger--Bopp--Podolsky system \begin{equation*} \begin{cases} -Δu + V(x)u + ϕu = f(x,u), & \text{in } \mathbb{R}^3, -Δϕ+ a^2 Δ^2 ϕ= 4πu^2, & \text{…