Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains

被引:0
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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
关键词
34C23; 34B09; 34L40; Dirac system; Eigenvalue problem; Rotation number; Global bifurcation;
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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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