Ground states of Nonlinear Schrödinger System with Mixed Couplings

Juncheng Wei, Yuanze Wu

We consider the following $k$-coupled nonlinear Schrödinger system: \begin{align*} \begin{cases} &-Δu_j + λ_j u_j = μ_j u_j^3 + \sum_{i=1, i\not=j}^k β_{i,j} u_i^2 u_j \quad {\rm i…