Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609549 | Journal of Differential Equations | 2016 | 15 Pages |
Abstract
Using an estimate on the number of critical points for a Morse-even function on the sphere SmSm, m≥1m≥1, we prove a multiplicity result for orthogonal geodesic chords in Riemannian manifolds with boundary that are diffeomorphic to Euclidean balls. This yields also a multiplicity result for brake orbits in a potential well.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Roberto Giambò, Fabio Giannoni, Paolo Piccione,