RT Journal Article
T1 A Maupertuis-type principle in relativistic mechanics and applications
A1 Boscaggin, Alberto
A1 Dambrosio, Walter
A1 Muñoz Hernández, Eduardo
AB 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.
PB Springer
SN 0944-2669
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/93475
UL https://hdl.handle.net/20.500.14352/93475
LA eng
NO Boscaggin, A., Dambrosio, W. & Muñoz-Hernández, E. A Maupertuis-type principle in relativistic mechanics and applications. Calc. Var. 62, 95 (2023). https://doi.org/10.1007/s00526-023-02430-9
DS Docta Complutense
RD 6 abr 2025