Dimension reduction for $-Δ_1$

preprint2012arXivOpen access

A 3D-2D dimension reduction for $-Δ_1$ is obtained. A power law approximation from $-Δ_p$ as $p \to 1$ in terms of $Γ$ - convergence, duality and asymptotics for least gradient functions has also been provided.

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Dimension reduction for $-Δ_1$

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Dimension reduction for −Δ1-Δ_1−Δ1​

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Dimension reduction for $-Δ_1$