Infinitely many periodic solutions to a Lorentz force equation with singular electromagnetic potential
DOI10.1016/j.jde.2023.11.002arXiv2302.06189OpenAlexW4388958712MaRDI QIDQ6144835
Walter Dambrosio, Alberto Boscaggin, Duccio Papini
Publication date: 30 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.06189
periodic solutionsnon-smooth critical point theoryLusternik-Schnirelmann categoryLorentz force equationLiénard-Wiechert potentialrelativistic Kepler problem
Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Motion of charged particles (78A35) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
- Critical point theory and Hamiltonian systems
- Infinite cup length in free loop spaces with an application to a problem of the N-body type
- Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
- Periodic solutions of singular Lagrangian systems
- Critical point theory for the Lorentz force equation
- Periodic solutions for the Lorentz force equation with singular potentials
- Lusternik-Schnirelman theory for the action integral of the Lorentz force equation
- Existence and classification of critical points for nondifferentiable functions
- Homotopy theory of infinite dimensional manifolds
- Unfamiliar trajectories for a relativistic particle in a Kepler or Coulomb potential
- A Note on the Category of the Free Loop Space
- Periodic Solutions to a Perturbed Relativistic Kepler Problem
- Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire
- Relativistic equations with singular potentials
