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; Papini, Duccio. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 22:2(2015), pp. 263-299. [10.1007/s00030-014-0282-1]
Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains
PAPINI, Duccio
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.File | Dimensione | Formato | |
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