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arXiv · 1307.7971

Notes on a Theorem of Benci-Gluck-Ziller-Hayashi

Fengying Li·Shiqing Zhang
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Abstract

We use constrained variational minimizing methods to study the existence of periodic solutions with a prescribed energy for a class of second order Hamiltonian systems with a $C^2$ potential function which may have an unbounded potential well. Our result can be regarded as complementary to the well-known theorem of Benci-Gluck-Ziller and Hayashi.

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Fengying Li, Shiqing Zhang. 2013-07-30. Notes on a Theorem of Benci-Gluck-Ziller-Hayashi. https://arxiv.org/abs/1307.7971

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