Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction

被引：45
|
作者：
Wang, Jun [1 ]
Shi, Junping [2 ]
机构：
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 56卷 / 06期
关键词：
BOSE-EINSTEIN CONDENSATION; BOUND-STATES; SCHRODINGER SYSTEMS; SOLITARY WAVES; POSITIVE SOLUTIONS; ELLIPTIC-SYSTEMS; PHASE-SEPARATION; ENERGY SOLUTIONS; CLASSICAL LIMIT; GROUND-STATES;
D O I：
10.1007/s00526-017-1268-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Standing wave solutions of coupled nonlinear Hartree equations with nonlocal interaction are considered. Such systems arises from mathematical models in Bose-Einstein condensates theory and nonlinear optics. The existence and non-existence of positive ground state solutions are proved under optimal conditions on parameters, and various qualitative properties of ground state solutions are shown. The uniqueness of the positive solution or the positive ground state solution are also obtained in some cases.
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页数：36
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