Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains
Classical Analysis and ODEs
2014-07-01 v2
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.
Cite
@article{arxiv.1406.5284,
title = {Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains},
author = {Anna Capietto and Walter Dambrosio and Duccio Papini},
journal= {arXiv preprint arXiv:1406.5284},
year = {2014}
}
Comments
Added some explanatory comments to the preceeding version