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- Title
A Maupertuis-type principle in relativistic mechanics and applications.
- Authors
Boscaggin, Alberto; Dambrosio, Walter; Muñoz-Hernández, Eduardo
- Abstract
We provide a Maupertuis-type principle for the following system of ODE, of interest in special relativity: d d t m x ˙ 1 - | x ˙ | 2 / c 2 = ∇ V (x) , x ∈ Ω ⊂ R n , where m , c > 0 and V : Ω → R is a function of class C 1 . As an application, we prove the existence of multiple periodic solutions with prescribed energy for a relativistic N-centre type problem in the plane.
- Subjects
RELATIVISTIC mechanics; RELATIVISTIC energy; SPECIAL relativity (Physics)
- Publication
Calculus of Variations & Partial Differential Equations, 2023, Vol 62, Issue 3, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-023-02430-9