0000000000969524

AUTHOR

Maria Emilia Amendola

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Dimension reduction for $-Delta_1$

2012

A 3D-2D dimension reduction for $-\Delta_1$ is obtained. A power law approximation from $-\Delta_p$ as $p \to 1$ in terms of $\Gamma$- convergence, duality and asymptotics for least gradient functions has also been provided.

dimension reduction; gamma convergence; duality; functions of bounded variation; 1-laplacianMathematics - Analysis of PDEsdimension reductionfunctions of bounded variationdualitygamma convergence1-laplacian
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