Ground states for a linearly coupled system of Schrödinger equations on ${\mathbb{R}}^N$

João Marcos do Ó, José Carlos de Albuquerque

We study the following class of linearly coupled Schrödinger elliptic systems $$\left\{ \begin{array}{lr} -Δu+V_{1}(x)u=μ|u|^{p-2}u+λ(x)v, & \quad x\in\mathbb{R}^{N}, \\ -Δv+V_{2}(…