@article{JEMS_2007_9_2_a1, author = {Giovanni Leoni and Massimiliano Morini}, title = {Necessary and sufficient conditions for the chain rule in $W_{\mathrm{loc}}^{1,1}(\mathbb{R}^N; \mathbb{R})$ and $BV_{\mathrm{loc}}(\mathbb{R}^N; \mathbb{R}^d)$}, journal = {Journal of the European Mathematical Society}, pages = {219--252}, publisher = {mathdoc}, volume = {9}, number = {2}, year = {2007}, doi = {10.4171/jems/78}, url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/78/} }