A minimax method for a class of Hamiltonian systems with singular potentials. (English) Zbl 0681.70018

Bahri, Abbas; Rabinowitz, Paul H.

J. Funct. Anal. 82, No. 2, 412-428 (1989).

Summary: 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.

MSC:

70H05	Hamilton’s equations
37-XX	Dynamical systems and ergodic theory

Keywords:

minimax method; existence; multiplicity results for time periodic solutions; Hamiltonian systems; singular potential

References:

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