Existence of solutions for a Schrodinger system with linear and nonlinear couplings

被引：21

作者：

Li, Kui ^{[1
]}

Zhang, Zhitao ^{[2
,3
,4
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 08期

基金：

中国国家自然科学基金;

关键词：

POSITIVE SOLUTIONS; EQUATIONS; UNIQUENESS;

D O I：

10.1063/1.4960046

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study an important system of Schrodinger equations with linear and nonlinear couplings arising from Bose-Einstein condensates. We use the Nehari manifold to prove the existence of a ground state solution; moreover, we give the sign of the solutions depending on linear coupling; by using index theory and Nehari manifold, we prove that there exist infinitely many positive bound state solutions. Published by AIP Publishing.

引用

页数：17

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