Article ID Journal Published Year Pages File Type
4609549 Journal of Differential Equations 2016 15 Pages PDF
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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, , ,