%0 Journal Article
%A Boscaggin, Alberto
%A Dambrosio, Walter
%A Muñoz Hernández, Eduardo
%T A Maupertuis-type principle in relativistic mechanics and applications
%D 2023
%@ 0944-2669
%U https://hdl.handle.net/20.500.14352/93475
%X We provide a Maupertuis-type principle for the following system of ODE, of interest in special relativity: d/dt (mx˙/√1 −|˙x|2/c2) = ∇V(x), x ∈  ⊂ Rn, where m, c > 0 and V :  → R is a function of class C1. As an application, we prove the existence of multiple periodic solutions with prescribed energy for a relativistic N-centre type problem in the plane.
%~