63 citations · 227 across the 25 of their papers we have counts for
26 papers
A non-autonomous variational problem describing a nonlinear Timoshenko beam
D. Corona, A. Della Corte, F. Giannoni
We study the non-autonomous variational problem: \begin{equation*} \inf_{(ϕ,θ)} \bigg\{\int_0^1 \bigg(\frac{k}{2}ϕ'^2 + \frac{(ϕ-θ)^2}{2}-V(x,θ)\bigg)\text{d}x\bigg\} \end{equation…
Brake orbits for Hamiltonian systems of classical type via Finsler geodesics
Dario Corona, Fabio Giannoni
We consider Hamiltonian functions of classical type, namely even and convex with respect to the generalized momenta. A brake orbit is a periodic solution of Hamilton's equations su…
Connecting and closed geodesics of a Kropina metric
Erasmo Caponio, Fabio Giannoni, Antonio Masiello +1
We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes e…
Multiple orthogonal geodesic chords and a proof of Seifert's conjecture on brake orbits
Roberto Giambó, Fabio Giannoni, Paolo Piccione
Using nonsmooth critical point theory, we prove the existence of at least N orthogonal geodesic chords in a class of Riemannian N-disk with strongly concave boundary. This yields a…
Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles
Roberto Giambò, Fabio Giannoni, Paolo Piccione
We use nonsmooth critical point theory and the theory of geodesics with obstacle to show a multiplicity result about orthogonal geodesic chords in a Riemannian manifold (with bound…
Functions on the sphere with critical points in pairs and orthogonal geodesic chords
R. Giambò, F. Giannoni, P. Piccione
Using an estimate on the number of critical points for a Morse-even function on the sphere , , we prove a multiplicity result for orthogonal geodesic chords in…