A Minimax Method for a Class of Hamiltonian Systems with Singular Potentials.
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WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES
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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. Keywords Minimax method Calculus of variations Hamiltonian systems Singular potential Strong force condition Collision orbits Weak force condition Generalized T-periodic solution.
- Theoretical Mathematics