@misc{10481/83810,
year = {2023},
month = {4},
url = {https://hdl.handle.net/10481/83810},
abstract = {The first part of this paper concern with the study of the Lorentz force equation

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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

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admits at least a periodic solution when h is an element of L-1(0, T) and G is singular at zero.},
organization = {Universidad de Granada/CBUA},
organization = {Spanish Government
	PGC2018-096422-B-I00,
	
	PID2021-122122NB-I00},
organization = {Junta de Andalucia
	FQM-116},
organization = {Ministry of Education, Universities and Research (MIUR)
	2017JPCAPN_005},
publisher = {Springer Nature},
keywords = {Lorentz force equation},
keywords = {Relativistic pendulum equation},
keywords = {Mountain pass theorem},
keywords = {Global continuation theorem},
title = {Relativistic equations with singular potentials},
doi = {10.1007/s00033-023-01977-z},
author = {Arcoya Álvarez, David and Sportelli, Caterina},
}