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Conley index in Hilbert spaces versus the generalized topological degree

2017; Volume: 22; Issue: 11/12 Linguagem: Inglês

10.57262/ade/1504231227

1079-9389

Zbigniew Błaszczyk, Anna Gołębiewska, Sławomir Rybicki,

Nonlinear Dynamics and Pattern Formation

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