Boscaggin, AlbertoDambrosio, WalterMuñoz Hernández, Eduardo2024-01-162024-01-162023Boscaggin, 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/s00526-023-02430-90944-266910.1007/s00526-023-02430-9https://hdl.handle.net/20.500.14352/93475We 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article1432-0835https://doi.org/10.1007/s00526-023-02430-9open accessAnálisis matemáticoEcuaciones diferencialesFísica matemática1202 Análisis y Análisis Funcional