Archivio Istituzionale della RicercaTo 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, Jacobo; Recht, L.. - In: COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE. - ISSN 0764-4442. - STAMPA. - 325 serie I:(1997), pp. 743-747.
Spectral Flow and Bifurcation of Critical Points of Strongly Indefinite Functionals.
PEJSACHOWICZ, JACOBO;
1997
Abstract
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.
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https://hdl.handle.net/11583/2495713
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