A global bifurcation theorem for critical values in Banach spaces

We present a global bifurcation result for critical values of C1 maps in Banach spaces. The approach is topological based on homotopy equivalence of pairs of topological spaces. For C2 maps, we prove a particular global bifurcation result, based on the notion of spectral flow. © 2018, Fondazione Ann...

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Detalles Bibliográficos
Autores principales: Amster, P., Benevieri, P., Haddad, J.
Formato: INPR
Materias:
Critical values
Global bifurcation
Spectral flow
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03733114_v_n_p_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We present a global bifurcation result for critical values of C1 maps in Banach spaces. The approach is topological based on homotopy equivalence of pairs of topological spaces. For C2 maps, we prove a particular global bifurcation result, based on the notion of spectral flow. © 2018, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.

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