A minimax method for a class of Hamiltonian systems with singular potentials

@article{Bahri1989AMM,
  title={A minimax method for a class of Hamiltonian systems with singular potentials},
  author={A. Bahri and P. H. Rabinowitz},
  journal={Journal of Functional Analysis},
  year={1989},
  volume={82},
  pages={412-428}
}
  • A. Bahri, P. H. Rabinowitz
  • Published 1989
  • Mathematics
  • Journal of Functional Analysis
    • Abstract This paper presents a minimax method which gives existence and multiplicity results for time periodic solutions of a class of Hamiltonian systems when a singular potential is present. The singularity satisfies the strong force condition of Gordon. When milder singularities are permitted a notion of generalized T -periodic solution is introduced and we get existence and multiplicity results for such solutions. 
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