抄録
We consider a noncompact hypersurface H in R2 N which is the energy level of a singular Hamiltonian of "strong force" type. Under global geometric assumptions on H, we prove that it carries a closed characteristic, as a consequence of a result by Hofer and Viterbo on the Weinstein conjecture in cotangent bundles of compact manifolds. Our theorem contains, as particular cases, earlier results on the fixed energy problem for singular Lagrangian systems of strong force type.
本文言語 | English |
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ページ(範囲) | 362-377 |
ページ数 | 16 |
ジャーナル | Journal of Differential Equations |
巻 | 230 |
号 | 1 |
DOI | |
出版ステータス | Published - 2006 11 1 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics