Abstract

We extend our results about a class of non-regular Lagrange problems of Calculus of Variations showing that the derivative of minimizers are in BMO. For this class we give also some results of optimality relative to the Tonelli set, of the type recently given by Ball-Mizel, by using results of Harmonic Analysis.

Author information

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Alberto Fiorenza

Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Universitá di Napoli, Via Cintia, 80126 Napoli, Italy

Keywords

  • Calculus of Variations
  • One-dimensional problems
  • Reverse Jensen Inequalities
  • Tonelli set
  • BMO
  • Orlicz Spaces

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Suggested citation

A. Fiorenza. “BMO Regularity for One-Dimensional Minimizers of Some Lagrange Problems.” Journal of Convex Analysis 4 (1997), No. 2, 289–303. https://doi.org/10.68381/jca04015

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Published by Heldermann Verlag, 1997. Rights now held by Banach Press.