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arXiv · 2401.13135

Spectral flow and variational bifurcation

J. Pejsachowicz
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Abstract

We show that the principle "nonvanishing of spectral flow of the linearization along the trivial branch entails bifurcation of nontrivial solutions ", proved in \cite{FPR} for critical points of one parameter families of $C^2$ functionals with Fredholm Hessian, holds true for variational perturbations of paths of unbounded self-adjoint Fredholm operators with a fixed domain.

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J. Pejsachowicz. 2024-01-23. Spectral flow and variational bifurcation. https://arxiv.org/abs/2401.13135

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