6533b854fe1ef96bd12afa52

RESEARCH PRODUCT

Dimension reduction for $-Delta_1$

Maria Emilia AmendolaGiuliano GargiuloElvira Zappale

subject

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

description

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.

yearjournalcountryeditionlanguage
2012-11-12
http://hdl.handle.net/11573/1458145