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All periodic minimizers are unstable

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Abstract.

We consider the periodic action functional associated to some Lagrangian verifying the Legendre convexity condition and show that all minimizers are unstable.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Granada, 18071, Granada, Spain

    Antonio J. Ureña

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  1. Antonio J. Ureña
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Correspondence to Antonio J. Ureña.

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Received: 24 November 2007

Supported by D.G.I. MTM2005-03483, Ministerio de Educación y Ciencia, Spain.

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Ureña, A.J. All periodic minimizers are unstable. Arch. Math. 91, 63–75 (2008). https://doi.org/10.1007/s00013-008-2693-x

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  • DOI: https://doi.org/10.1007/s00013-008-2693-x

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