TY - JOUR AU - Giovanni Leoni AU - Massimiliano Morini TI - Necessary and sufficient conditions for the chain rule in $W_{\mathrm{loc}}^{1,1}(\mathbb{R}^N; \mathbb{R})$ and $BV_{\mathrm{loc}}(\mathbb{R}^N; \mathbb{R}^d)$ JO - Journal of the European Mathematical Society PY - 2007 SP - 219 EP - 252 VL - 9 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/78/ DO - 10.4171/jems/78 ID - JEMS_2007_9_2_a1 ER -