Abstract

Our aim is to obtain regularity of minimizers of functionals under the nonstandard growth conditions. Starting point is the study made by the authors finalized to investigate the regularity of the minimizers of quadratic functionals, whose integrands have vanishing mean oscillation coefficients, using some majorizations for the functionals, rather than the well known Euler's equation associated with it.

Author information

Contact details are reproduced from the original publication and may be historical.

Maria Alessandra Ragusa

Dip. di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy

maragusa@dmi.unict.it

Keywords

  • Regularity
  • minimizers
  • non-stardard growth

Mathematics Subject Classification

49N60,35J50; 58E20

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Suggested citation

M. A. Ragusa, A. Tachikawa. “New Challenges on the Regularity of Minimizers of Functionals.” Journal of Convex Analysis 25 (2018), No. 2, 675–690. https://doi.org/10.68381/jca25040

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Published by Heldermann Verlag, 2018. Rights now held by Banach Press LLC.