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

页码：2109 / 2123

页数：15

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