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Infinite dimensional local linking and some applications to the Hamiltonian systems

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Abstract

In this paper we get an existence theorem of nontrivial critical points by using the local linking idea. As applications, we study the existence of nontrivial periodic solution of Hamiltonian systems.

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Author notes

  1. Li Shujie

    Present address: Institute of Mathematics, Academia Sinica, Beijing, P. R. China

  2. Liu Jiaquan

    Present address: Institute of Systems Science, Academia Sinica, Beijing, P. R. China

Authors and Affiliations

  1. International School for Advanced Studies, 34014, Trieste, Italy

    Li Shujie

  2. International Centre for Theoretical Physics, 34100, Trieste, Italy

    Liu Jiaquan

Authors
  1. Li Shujie
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  2. Liu Jiaquan
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Shujie, L., Jiaquan, L. Infinite dimensional local linking and some applications to the Hamiltonian systems. Acta Mathematica Sinica 5, 365–382 (1989). https://doi.org/10.1007/BF02107714

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  • DOI: https://doi.org/10.1007/BF02107714

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