3 citations · 4 across the 4 of their papers we have counts for
8 papers
Periodic solutions to relativistic Kepler problems: a variational approach
Alberto Boscaggin, Walter Dambrosio, Duccio Papini
We study relativistic Kepler problems in the plane. At first, using non-smooth critical point theory, we show that under a general time-periodic external force of gradient type the…
Periodic perturbations of central force problems and an application to a restricted -body problem
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We consider a perturbation of a central force problem of the form \begin{equation*} \ddot x = V'(|x|) \frac{x}{|x|} + \varepsilon \,\nabla_x U(t,x), \quad x \in \mathbb{R}^{2} \set…
Unbounded solutions to a system of coupled asymmetric oscillators at resonance
Alberto Boscaggin, Walter Dambrosio, Duccio Papini
We deal with the following system of coupled asymmetric oscillators \[ \begin{cases} \ddot{x}_1+a_1x_1^+-b_1x^-_1+ϕ_1(x_2)=p_1(t) \\ \ddot{x}_2+a_2\,x_2^+-b_2\,x^-_2+ϕ_2(x_1)=p_2(t…
Unbounded solutions to systems of differential equations at resonance
Alberto Boscaggin, Walter Dambrosio, Duccio Papini
We deal with a weakly coupled system of ODEs of the type with locally Lipschitz continuous and…
Periodic solutions to a perturbed relativistic Kepler problem
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We consider a perturbed relativistic Kepler problem \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\left(\dfrac{m\dot{x}}{\sqrt{1-|\dot{x}|^2/c^2}}\right)=-α\, \dfrac{x}{|x|^3}+\…
On the minimality of Keplerian arcs with fixed negative energy
Vivina Barutello, Alberto Boscaggin, Walter Dambrosio
We revisit a classical result by Jacobi on the local minimality, as critical points of the corresponding energy functional, of fixed-energy solutions of the Kepler equation joining…