Bifurcations for a coupled Schrodinger system with multiple components

被引：7
|
作者：
Bartsch, Thomas [1 ]
Tian, Rushun [2 ]
Wang, Zhi-Qiang [3 ,4 ]
机构：
[1] Univ Giessen, Math Inst, D-35392 Giessen, Germany
[2] Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
[3] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
[4] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 05期
基金：
中国博士后科学基金;
关键词：
Coupled Schrodinger system; Bifurcation; Indefinite; Standing waves; Partially synchronized solutions; NONLINEAR ELLIPTIC SYSTEM; BOUND-STATES; POSITIVE SOLUTIONS; GROUND-STATES; R-N; EQUATIONS; SOLITARY; WAVES;
D O I：
10.1007/s00033-015-0498-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study local bifurcations of an indefinite elliptic system with multiple components: Here is a smooth and bounded domain, is the principal eigenvalue of are real constants. Using the positive and nondegenerate solution of the scalar equation , we construct a synchronized solution branch . Then we find a sequence of local bifurcations with respect to , and we find global bifurcation branches of partially synchronized solutions.
引用
收藏
页码：2109 / 2123
页数：15
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