Dimension reduction for $-\Delta_1$
  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. 
Maria Emilia Amendola, Giuliano Gargiulo, Elvira Zappale
math.AP