A Maupertuis-type principle in relativistic mechanics and applications
| dc.contributor.author | Boscaggin, Alberto | |
| dc.contributor.author | Dambrosio, Walter | |
| dc.contributor.author | Muñoz Hernández, Eduardo | |
| dc.date.accessioned | 2024-01-16T18:31:22Z | |
| dc.date.available | 2024-01-16T18:31:22Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.identifier.citation | 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 | |
| dc.identifier.doi | 10.1007/s00526-023-02430-9 | |
| dc.identifier.essn | 1432-0835 | |
| dc.identifier.issn | 0944-2669 | |
| dc.identifier.officialurl | https://doi.org/10.1007/s00526-023-02430-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/93475 | |
| dc.journal.title | Calculus of Variations and Partial Differential Equations | |
| dc.language.iso | eng | |
| dc.page.initial | 95 (29) | |
| dc.publisher | Springer | |
| dc.rights | Attribution 4.0 International | en |
| dc.rights.accessRights | open access | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.ucm | Física matemática | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | A Maupertuis-type principle in relativistic mechanics and applications | |
| dc.type | journal article | |
| dc.type.hasVersion | VoR | |
| dc.volume.number | 62 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 6257d3ed-79fd-46b2-a66b-f0c8b166abc7 | |
| relation.isAuthorOfPublication.latestForDiscovery | 6257d3ed-79fd-46b2-a66b-f0c8b166abc7 |
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