3 citations · 4 across the 4 of their papers we have counts for
5 papers
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…
A variational setting for an indefinite Lagrangian with an affine Noether charge
Erasmo Caponio, Dario Corona
We introduce a variational setting for the action functional of an autonomous and indefinite Lagrangian on a finite dimensional manifold. Our basic assumption is the existence of a…
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…
A Multiplicity Result for Orthogonal Geodesic Chords in Finsler disks
Dario Corona
In this paper, we study the existence and multiplicity problems for orthogonal Finsler geodesic chords in a manifold with boundary which is homeomorphic to a N-dimensional disk. Un…