Advances in Differential Equations

Conley index in Hilbert spaces versus the generalized topological degree

Zbigniew Błaszczyk, Anna Gołębiewska, and Sławomir Rybicki

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We prove a version of the Poincaré–Hopf theorem suitable for strongly indefinite functionals and then apply it to infer a number of bifurcation results in infinite-dimensional Hilbert spaces.

Article information

Adv. Differential Equations, Volume 22, Number 11/12 (2017), 963-982.

First available in Project Euclid: 1 September 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34C23: Bifurcation [See also 37Gxx] 47J15: Abstract bifurcation theory [See also 34C23, 37Gxx, 58E07, 58E09]


Błaszczyk, Zbigniew; Gołębiewska, Anna; Rybicki, Sławomir. Conley index in Hilbert spaces versus the generalized topological degree. Adv. Differential Equations 22 (2017), no. 11/12, 963--982.

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