Electron. J. Differential Equations, Vol. 2017 (2017), No. 05, pp. 1-10.

Ground states of linearly coupled Schrodinger systems

Haidong Liu

This 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.

Submitted January 11, 2016. Published January 5, 2017.
Math Subject Classifications: 35B40, 35J47, 35J50.
Key Words: Linearly coupled Schrodinger system; ground states; asymptotic behavior.

Show me the PDF file (27 KB), TEX file for this article.

Haidong Liu
College of Mathematics, Physics and Information Engineering
Jiaxing University
Zhejiang 314001, China
email: liuhaidong@mail.zjxu.edu.cn

Return to the EJDE web page