Dimension reduction for $-{\Delta }_1$

Maria Emilia Amendola, Giuliano Gargiulo, Elvira Zappale

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 func…