Ground state of indefinite coupled nonlinear Schrödinger systems

Ruijin Xu, Jiabao Su, Rushun Tian

In this paper, we study the ground state solutions of the following coupled nonlinear Schrödinger system (P) $-\Delta u_1-{\tau }_1{u}_1={\mu }_1{u}_1^3+\beta u_1{u}_2^2$, $ -Δu_2-τ_2 u_2 =μ_2u_2^3+βu_1^2u_…