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.
2015
22
2
263
299
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]
Capietto, Anna; Dambrosio, Walter; Papini, Duccio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1316025
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