In this paper we show how the notion of the Lusternik–Schni- relmann relative category can be used to study a multiplicity problem for brake orbits in a potential well which is homeomorphic to the N-dimen- sional unit disk. The estimate of the relative category of the set of chords with endpoints on the (N − 1)-unit sphere was shown to the third author by Fadell and Husseini while he was visiting the University of Wisconsin at Madison.
On the relative category in the brake orbits problem
Corona, Dario
;Giambo', Roberto;Giannoni, Fabio;
2023-01-01
Abstract
In this paper we show how the notion of the Lusternik–Schni- relmann relative category can be used to study a multiplicity problem for brake orbits in a potential well which is homeomorphic to the N-dimen- sional unit disk. The estimate of the relative category of the set of chords with endpoints on the (N − 1)-unit sphere was shown to the third author by Fadell and Husseini while he was visiting the University of Wisconsin at Madison.File in questo prodotto:
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