A Maupertuis-type principle in relativistic mechanics and applications

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 ener...

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Detalles Bibliográficos
Autores: Boscaggin, Alberto, Dambrosio, Walter, Muñoz Hernández, Eduardo
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/93475
Acceso en línea:https://hdl.handle.net/20.500.14352/93475
Access Level:acceso abierto
Palabra clave:Análisis matemático
Ecuaciones diferenciales
Física matemática
1202 Análisis y Análisis Funcional
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spelling A Maupertuis-type principle in relativistic mechanics and applicationsBoscaggin, AlbertoDambrosio, WalterMuñoz Hernández, EduardoAnálisis matemáticoEcuaciones diferencialesFísica matemática1202 Análisis y Análisis FuncionalWe 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.SpringerUniversidad Complutense de Madrid20232023-01-0120232023-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/93475reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/934752026-06-02T12:44:21Z
dc.title.none.fl_str_mv A Maupertuis-type principle in relativistic mechanics and applications
title A Maupertuis-type principle in relativistic mechanics and applications
spellingShingle A Maupertuis-type principle in relativistic mechanics and applications
Boscaggin, Alberto
Análisis matemático
Ecuaciones diferenciales
Física matemática
1202 Análisis y Análisis Funcional
title_short A Maupertuis-type principle in relativistic mechanics and applications
title_full A Maupertuis-type principle in relativistic mechanics and applications
title_fullStr A Maupertuis-type principle in relativistic mechanics and applications
title_full_unstemmed A Maupertuis-type principle in relativistic mechanics and applications
title_sort A Maupertuis-type principle in relativistic mechanics and applications
dc.creator.none.fl_str_mv Boscaggin, Alberto
Dambrosio, Walter
Muñoz Hernández, Eduardo
author Boscaggin, Alberto
author_facet Boscaggin, Alberto
Dambrosio, Walter
Muñoz Hernández, Eduardo
author_role author
author2 Dambrosio, Walter
Muñoz Hernández, Eduardo
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Análisis matemático
Ecuaciones diferenciales
Física matemática
1202 Análisis y Análisis Funcional
topic Análisis matemático
Ecuaciones diferenciales
Física matemática
1202 Análisis y Análisis Funcional
description 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.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01
2023
2023-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/93475
url https://hdl.handle.net/20.500.14352/93475
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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