@Article{ lousan11a, author = { Louet, Jean and Santambrogio, Filippo }, title = { A sharp inequality for transport maps in $W^{1,p}(\mathbb{R})$ via approximation }, journal = { Applied Math Letters }, year = { 2012 }, volume = { 25 }, number = { 3 }, pages = { 648-653 }, URL = { http://cvgmt.sns.it/paper/1373/ }, note = { cvgmt preprint} }