Abstract

We prove the compactness, with respect to the convergence in measure, of the gradients of the minimizing sequences of strictly convex and coercive integral functionals having linear growth.

Author information

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

Keywords

  • Convexity
  • minimizing sequences
  • compactness
  • nonreflexive spaces
  • Sobolev space

Mathematics Subject Classification

35J66, 49J45

Suggested citation

L. Boccardo, T. Gallouet. “A Compactness Property of the Minimizing Sequences of a Minimal Surfaces Functional.” Journal of Convex Analysis 32 (2025), No. 1, 189–198. https://doi.org/10.68381/jca32012

Download BibTeXPublished by Heldermann Verlag.

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