Liu, Haidong2022-03-112022-03-112017-01-05Liu, H. (2017). Ground states of linearly coupled Schrodinger systems. Electronic Journal of Differential Equations, 2017(05), pp. 1-10.1072-6691https://hdl.handle.net/10877/15501This article concerns the standing waves of a linearly coupled Schrodinger system which arises from nonlinear optics and condensed matter physics. The coefficients of the system are spatially dependent and have a mixed behavior: they are periodic in some directions and tend to positive constants in other directions. Under suitable assumptions, we prove that the system has a positive ground state. In addition, when the L-infinity-norm of the coupling coefficient tends to zero, the asymptotic behavior of the ground states is also obtained.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalLinearly coupled Schrödinger systemGround statesAsymptotic behaviorArticle