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Relativistic equations with singular potentials

dc.contributor.authorArcoya Álvarez, David 
dc.contributor.authorSportelli, Caterina
dc.date.accessioned2023-07-17T09:55:35Z
dc.date.available2023-07-17T09:55:35Z
dc.date.issued2023-04-17
dc.identifier.citationArcoya, D., Sportelli, C. Relativistic equations with singular potentials. Z. Angew. Math. Phys. 74, 91 (2023). [https://doi.org/10.1007/s00033-023-01977-z]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/83810
dc.descriptionFunding for open access publishing: Universidad de Granada/CBUAes_ES
dc.description.abstractThe first part of this paper concern with the study of the Lorentz force equation [GRAPHICS] in the relevant physical configuration where the electric field (E) over right arrow has a singularity in zero. By using Szulkin's critical point theory, we prove the existence of T-periodic solutions provided that T and the electric and magnetic fields interact properly. In the last part, we employ both a variational and a topological argument to prove that the scalar relativistic pendulum-type equation [GRAPHICS] admits at least a periodic solution when h is an element of L-1(0, T) and G is singular at zero.es_ES
dc.description.sponsorshipUniversidad de Granada/CBUAes_ES
dc.description.sponsorshipSpanish Government PGC2018-096422-B-I00, PID2021-122122NB-I00es_ES
dc.description.sponsorshipJunta de Andalucia FQM-116es_ES
dc.description.sponsorshipMinistry of Education, Universities and Research (MIUR) 2017JPCAPN_005es_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectLorentz force equationes_ES
dc.subjectRelativistic pendulum equationes_ES
dc.subjectMountain pass theoremes_ES
dc.subjectGlobal continuation theoremes_ES
dc.titleRelativistic equations with singular potentialses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s00033-023-01977-z
dc.type.hasVersionVoRes_ES


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