Regularized variational principles for the perturbed Kepler problem

dc.contributor.author	Barutello, Vivina
dc.contributor.author	Ortega, Rafael
dc.contributor.author	Verzini, Gianmaria
dc.date.accessioned	2025-01-16T07:00:23Z
dc.date.available	2025-01-16T07:00:23Z
dc.date.issued	2021
dc.identifier.citation	https://doi.org/10.1016/j.aim.2021.107694	es_ES
dc.identifier.uri	https://hdl.handle.net/10481/99290
dc.description.abstract	The goal of the paper is to develop a method that will combine the use of variational techniques with regularization methods in order to study existence and multiplicity results for the periodic and the Dirichlet problem associated to the perturbed Kepler system. The existence of critical points for the action functional associated to the problem is proved via a non-local change of variables inspired by Levi-Civita and Kustaanheimo-Stiefel techniques. As an application we will prove that the perturbed Kepler problem has infinitely many generalized T-periodic	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Elsevier	es_ES
dc.title	Regularized variational principles for the perturbed Kepler problem	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	https://doi.org/10.1016/j.aim.2021.107694