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Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains

  • Anna Capietto
  • Walter DambrosioEmail author
  • Duccio Papini
Article
  • 104 Downloads

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.

Mathematics Subject Classification (2000)

34C23 34B09 34L40 

Keywords

Dirac system Eigenvalue problem Rotation number Global bifurcation 

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Anna Capietto
    • 1
  • Walter Dambrosio
    • 1
    Email author
  • Duccio Papini
    • 2
  1. 1.Dipartimento di MatematicaUniversità di TorinoTurinItaly
  2. 2.Dipartimento di Ingegneria dell’Informazione e Scienze MatematicheUniversità di SienaSienaItaly

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