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.

Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains

CAPIETTO, Anna;DAMBROSIO, Walter;
2015

Abstract

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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http://arxiv.org/pdf/1406.5284v2
Dirac system, eigenvalue problem, rotation number, global bifurcation
A. Capietto; W. Dambrosio; D. Papini
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/126166
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