Linear and nonlinear eigenvalue problems for Dirac systems in unbounded\n domains

2014/06/20 by Anna Capietto, Capietto, Anna, Walter Dambrosio +3
Mathematics · #34B09 #34B40 #34C23 #Advanced Mathematical Physics Problems #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical methods for differential equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1406.5284

openalex publication_date 2014/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first study the linear eigenvalue problem for a planar Dirac system in the\nopen half-line and describe the nodal properties of its solution by means of\nthe rotation number. We then give a global bifurcation result for a planar\nnonlinear Dirac system in the open half-line. As an application, we provide a\nglobal continuum of solutions of the nonlinear Dirac equation which have a\nspecial form.\n

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