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Periodic solutions for the Lorentz force equation with singular potentials |
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| Institution: | 1. Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy;2. Dipartimento di Matematica, Alma Mater Studiorum, Università di Bologna, piazza di Porta San Donato 5, 40126 Bologna, Italy;3. Univ. Polytechnique Hauts-de-France, EA 4015 - LAMAV - FR CNRS 2956, F-59313 Valenciennes, France;1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
| Abstract: | We provide sufficient conditions for the existence of periodic solutions of the Lorentz force equation, which models the motion of a charged particle under the action of an electromagnetic fields. The basic assumptions cover relevant models with singularities like Coulomb-like electric potentials or the magnetic dipole. |
| Keywords: | Lorentz force equation Electromagnetic field Periodic solution A priori bounds Brouwer degree |
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