%0 Journal Article %A Giovanni Leoni %A Massimiliano Morini %T Necessary and sufficient conditions for the chain rule in $W_{\mathrm{loc}}^{1,1}(\mathbb{R}^N; \mathbb{R})$ and $BV_{\mathrm{loc}}(\mathbb{R}^N; \mathbb{R}^d)$ %J Journal of the European Mathematical Society %D 2007 %P 219-252 %V 9 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/78/ %R 10.4171/jems/78 %F JEMS_2007_9_2_a1