Abstract
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.
Citation
Zbigniew Błaszczyk. Anna Gołębiewska. Sławomir Rybicki. "Conley index in Hilbert spaces versus the generalized topological degree." Adv. Differential Equations 22 (11/12) 963 - 982, November/December 2017. https://doi.org/10.57262/ade/1504231227