We first study the linear eigenvalue problem for a planar Dirac system in the open half-line and describe the nodal properties of its solution 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.
Capietto, A., Dambrosio, W., Papini, D. (2012). Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains.
Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains
PAPINI, DUCCIO
2012-01-01
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 solution 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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https://hdl.handle.net/11365/42791
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