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arXiv · 1406.5284

Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains

Anna Capietto·Walter Dambrosio·Duccio Papini
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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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Anna Capietto, Walter Dambrosio, Duccio Papini. 2014-06-30. Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains. https://arxiv.org/abs/1406.5284

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