63 citations · 493 across the 42 of their papers we have counts for
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Fixed energy solutions to the Euler-Lagrange equations of an indefinite Lagrangian with affine Noether charge
Erasmo Caponio, Dario Corona, Roberto Giambò +1
We consider an autonomous, indefinite Lagrangian admitting an infinitesimal symmetry whose associated Noether charge is linear in each tangent space. Our focus lies in investigatin…
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…
Multiple brake orbits in -dimensional disks
R. Giambò, F. Giannoni, P. Piccione
Let be a (complete) Riemannian surface, and let be an open subset whose closure is homeomorphic to a disk. We prove that if is smooth and it satisf…
Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the N-dimensional disk
R. Giambo', F. Giannoni, P. Piccione
In this paper we give a proof of the existence of an orthogonal geodesic chord on a Riemannian manifold homeomorphic to a closed disk and with concave boundary. This kind of study…