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The fixed energy problem for a class of nonconvex singular Hamiltonian systems |
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| Authors: | C Carminati |
| Institution: | a Department of Mathematics, University of Pisa, via Buonarroti 2, 56100 Pisa, Italy b CEREMADE, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775 Paris cedex 16, France c Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku, Tokyo 169-8555, Japan |
| Abstract: | We consider a noncompact hypersurface H in R2N 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. |
| Keywords: | 76B15 35B38 58E50 |
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