11 citations · 36 across the 13 of their papers we have counts for
15 papers
Periodic orbits with prescribed negative energy for relativistic Keplerian problems
Alberto Boscaggin, Guglielmo Feltrin, Duccio Papini
Using a variational approach, we study the existence of periodic solutions with prescribed energy for the relativistic equation \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\le…
Bifurcation from periodic solutions of central force problems in the three-dimensional space
Alberto Boscaggin, Guglielmo Feltrin, Duccio Papini
The paper deals with electromagnetic perturbations of a central force problem of the form \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t} \bigl( φ(\dot{x}) \bigr) = V'(|x|) \dfra…
Nearly-circular periodic solutions of perturbed relativistic Kepler problems: the fixed-period and the fixed-energy problems
Alberto Boscaggin, Guglielmo Feltrin, Duccio Papini
The paper studies the existence of periodic solutions of a perturbed relativistic Kepler problem of the type \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\left(\frac{m\dot{x}}{…
Infinitely many periodic solutions to a Lorentz force equation with singular electromagnetic potential
Alberto Boscaggin, Walter Dambrosio, Duccio Papini
We consider the Lorentz force equation $$ \frac{d}{dt}\left(\frac{m\dot{x}}{\sqrt{1-|\dot{x}|^{2}/c^{2}}}\right) = q \left(E(t,x) + \dot x \times B(t,x)\right), \qquad x \in \mathb…
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…
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…