Abstract

By looking at the Γ-convergence of some easy functionals in terms of underlying Young measures, we emphasize the connection of this issue with the Monge-Kantorovich mass transfer problem. After exploring this relationship, we study a typical example in periodic homogenization to realize the difference between the Monge-Kantorovich problem and the usual cell problem. We also state a version of the Monge-Kantorovich problem for gradients.

Author information

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

Pablo Pedregal

ETSI Industriales, Universidad de Castilla - La Mancha, 13071 Ciudad Real, Spain

Keywords

  • Young measures
  • relaxed formulation
  • joint measure
  • marginals

Mathematics Subject Classification

49J45; 46N10

Suggested citation

P. Pedregal. “Remarks on Γ-Convergence and the Monge-Kantorovich Mass Transfer Problem.” Journal of Convex Analysis 12 (2005), No. 2, 407–415. https://doi.org/10.68381/jca12028

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Published by Heldermann Verlag, 2005. Rights now held by Banach Press.