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- Title
New periodic solutions of singular Hamiltonian systems with fixed energies.
- Authors
Fengying Li; Qingqing Hua; Shiqing Zhang
- Abstract
By using the variational minimizing method with a special constraint and the direct variational minimizing method without constraint, we study second-order Hamiltonian systems with a singular potential V ∈ C²(Rn\O, R) and V ∈ C¹(R²\O, R), which may have an unbounded potential well, and prove the existence of non-trivial periodic solutions with a prescribed energy. Our results can be regarded as complements of the well-known theorems of Benci-Gluck-Ziller-Hayashi and Ambrosetti-Coti Zelati and so on.
- Subjects
HAMILTONIAN systems; HAMILTON-Jacobi equations; ALGEBRAIC topology; CONVEX domains; NONLINEAR equations; CONVEX geometry
- Publication
Journal of Inequalities & Applications, 2014, Vol 2014, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/1029-242X-2014-400