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Planar Dirac‐type systems: the eigenvalue problem and a global bifurcation result
Author(s) -
Capietto Anna,
Dambrosio Walter
Publication year - 2010
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdp082
Subject(s) - eigenvalues and eigenvectors , bifurcation , planar , mathematics , dirac (video compression format) , type (biology) , bifurcation theory , nonlinear system , line (geometry) , mathematical analysis , boundary value problem , physics , computer science , geometry , quantum mechanics , computer graphics (images) , neutrino , ecology , biology
We deal with a boundary value problem on the half‐line for planar systems of Dirac type. We first study the eigenvalue problem in the linear case and define an index for nontrivial solutions. We then give a global bifurcation result for nonlinear problems.