11 citations · 48 across the 18 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.CA2022
A Maupertuis-type principle in relativistic mechanics and applications
Alberto Boscaggin, Walter Dambrosio, Eduardo Muñoz-Hernández
We provide a Maupertuis-type principle for the following system of ODE, of interest in special relativity: $$ \frac{\rm d}{{\rm d}t}\left(\frac{m\dot{x}}{\sqrt{1-|\dot{x}|^2/c^2}}\…
math.CA2022
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…