Remarks on Γ-Convergence and the Monge-Kantorovich Mass Transfer Problem
نویسنده
چکیده
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.
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