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Some perturbation results for non-linear problems

Carlo Carminati (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We discuss the existence of closed geodesic on a Riemannian manifold and the existence of periodic solution of second order Hamiltonian systems.

Stability is not open

Kai Cieliebak, Urs Frauenfelder, Gabriel P. Paternain (2010)

Annales de l’institut Fourier

We give an example of a symplectic manifold with a stable hypersurface such that nearby hypersurfaces are typically unstable.

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