GROUND STATES OF LINEARLY COUPLED SCHRODINGER SYSTEMS

被引：0

作者：

Liu, Haidong ^{[1
]}

机构：

[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Zhejiang 314001, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Linearly coupled Schrodinger system; ground states; asymptotic behavior; POSITIVE SOLUTIONS; VECTOR SOLUTIONS; STANDING WAVES; SOLITARY WAVES; EQUATIONS; SOLITONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：10

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