A simple proof of an integral inequality involving L-1-vector fields is provided. This gives a short proof of estimates of Bourgain and Brezis for elliptic and div-curl systems. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.
Van Schaftingen, J. (2004). Estimates for L-1-vector fields. Comptes rendus - Mathématique, 339(3), 181-186. https://doi.org/10.1016/j.crma.2004.05.013 (Original work published 2004)