Spectral Flow and Bifurcation of Critical Points of Strongly Indefinite Functionals.

To each path of strongly indefinite self-adjoint Fredholm operators with invertible ends there is associated an integer called spectral flow. We develop a new approach to spectral flow which permits us to prove that for a one-parameter family of strongly indefinite functionals, there is bifurcation of critical points from a trivial branch if the spectral flow of the path of Hessians along the branch is non-zero.

Spectral Flow and Bifurcation of Critical Points of Strongly Indefinite Functionals. / Fitzpatrick P.; Pejsachowicz J.; Recht L.. - In: COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE. - ISSN 0764-4442. - STAMPA. - 325 serie I(1997), pp. 743-747.

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Titolo: Spectral Flow and Bifurcation of Critical Points of Strongly Indefinite Functionals.
Autori: 
PEJSACHOWICZ, JACOBO
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Data di pubblicazione: 1997
Rivista: 
COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE  
Appare nelle tipologie:1.1 Articolo in rivista

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http://hdl.handle.net/11583/2495713
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