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Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth

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Abstract

Based on the work of Clarke and Ekeland and using duality variational principle, we confirm the existence of minimal periodic solutions of some convex Hamiltonian systems with anisotropic growth.

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Acknowledgements

The authors sincerely thank the referees for their careful reading of this paper and valuable comments and suggestions. This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 11471170, 11790271) and the Innovation and Development Project of Guangzhou University.

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Correspondence to Chungen Liu.

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Liu, C., Zuo, L. & Zhang, X. Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth. Front. Math. China 13, 1063–1073 (2018). https://doi.org/10.1007/s11464-018-0721-0

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  • DOI: https://doi.org/10.1007/s11464-018-0721-0

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