Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains

被引：0
|
作者：
Anna Capietto
Walter Dambrosio
Duccio Papini
机构：
[1] Università di Torino,Dipartimento di Matematica
[2] Università di Siena,Dipartimento di Ingegneria dell’Informazione e Scienze Matematiche
来源：
Nonlinear Differential Equations and Applications NoDEA | 2015年 / 22卷
关键词：
34C23; 34B09; 34L40; Dirac system; Eigenvalue problem; Rotation number; Global bifurcation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We first study the linear eigenvalue problem for a planar Dirac system in the open half-line and describe the nodal properties of its solutions by means of the rotation number. We then give a global bifurcation result for a planar nonlinear Dirac system in the open half-line. As an application, we provide a global continuum of solutions of the nonlinear Dirac equation which have a special form.
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页码：263 / 299
页数：36
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