@article{10_4007_annals_2011_173_2_15, author = {Ha{\"\i}m Brezis and Hoai-Minh Nguyen}, title = {On the distributional {Jacobian} of maps from $\mathbb{S}^N$ into $\mathbb{S}^N$ in fractional {Sobolev} and {H\"older} spaces}, journal = {Annals of mathematics}, pages = {1141--1183}, publisher = {mathdoc}, volume = {173}, number = {2}, year = {2011}, doi = {10.4007/annals.2011.173.2.15}, mrnumber = {2776373}, zbl = {05960682}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.15/} }