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
id todo:paper_03733114_v_n_p_Amster
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spelling todo:paper_03733114_v_n_p_Amster2023-10-03T15:30:21Z A global bifurcation theorem for critical values in Banach spaces Amster, P. Benevieri, P. Haddad, J. Critical values Global bifurcation Spectral flow 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. INPR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03733114_v_n_p_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Critical values
Global bifurcation
Spectral flow
spellingShingle Critical values
Global bifurcation
Spectral flow
Amster, P.
Benevieri, P.
Haddad, J.
A global bifurcation theorem for critical values in Banach spaces
topic_facet Critical values
Global bifurcation
Spectral flow
description 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.
format INPR
author Amster, P.
Benevieri, P.
Haddad, J.
author_facet Amster, P.
Benevieri, P.
Haddad, J.
author_sort Amster, P.
title A global bifurcation theorem for critical values in Banach spaces
title_short A global bifurcation theorem for critical values in Banach spaces
title_full A global bifurcation theorem for critical values in Banach spaces
title_fullStr A global bifurcation theorem for critical values in Banach spaces
title_full_unstemmed A global bifurcation theorem for critical values in Banach spaces
title_sort global bifurcation theorem for critical values in banach spaces
url http://hdl.handle.net/20.500.12110/paper_03733114_v_n_p_Amster
work_keys_str_mv AT amsterp aglobalbifurcationtheoremforcriticalvaluesinbanachspaces
AT benevierip aglobalbifurcationtheoremforcriticalvaluesinbanachspaces
AT haddadj aglobalbifurcationtheoremforcriticalvaluesinbanachspaces
AT amsterp globalbifurcationtheoremforcriticalvaluesinbanachspaces
AT benevierip globalbifurcationtheoremforcriticalvaluesinbanachspaces
AT haddadj globalbifurcationtheoremforcriticalvaluesinbanachspaces
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