Abstract

This paper deals with some properties of convex functions and their applications to problems of the calculus of variations, both in the convex case, where Rockafellar is one of the main experts in the world, and also in the quasiconvex case, a field which still is not completely understood.

Author information

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

Keywords

  • Convex functions
  • Lipschitz continuous functions
  • quasiconvex functions
  • calculus of variations
  • elliptic systems
  • p
  • q-growth conditions

Mathematics Subject Classification

26B25, 49J05; 49N60, 49J99

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Suggested citation

P. Marcellini. “Some Remarks on Convexity.” Journal of Convex Analysis 32 (2025), No. 2, 565–577. https://doi.org/10.68381/jca32027

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Published by Heldermann Verlag, 2025. Rights now held by Banach Press.