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Calculus of variations in mean and convex lagrangians, III

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Abstract

For the almost periodic or periodic solution of an Euler-Lagrange equation, with a convex lagrangian, under a condition of symmetry on the lagrangian, we establish a necessary condition that involves the second differential of the lagrangian. We deduce from this some results of non-existence.

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Authors and Affiliations

  1. Faculté des Sciences de Limoges, Université de Limoges, Département de Mathématiques, 123 Avenue Albert Thomas, 87060, Limoges Cédex, France

    Joël Blot

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  1. Joël Blot
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Blot, J. Calculus of variations in mean and convex lagrangians, III. Israel J. Math. 67, 337–344 (1989). https://doi.org/10.1007/BF02764951

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  • DOI: https://doi.org/10.1007/BF02764951

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