Israel Journal of Mathematics

, Volume 67, Issue 3, pp 337–344 | Cite as

Calculus of variations in mean and convex lagrangians, III

  • Joël Blot


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.


Periodic Solution Fourier Series Convex Function Convex Subset Orthogonal Projector 


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Copyright information

© The Weizmann Science Press of Israel 1989

Authors and Affiliations

  • Joël Blot
    • 1
  1. 1.Faculté des Sciences de LimogesUniversité de Limoges, Département de MathématiquesLimoges CédexFrance

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