Inserted: 6 nov 2012
Last Updated: 24 sep 2014
Journal: Annales de l'Institut Henri Poincaré / Analyse non linéaire
We give a positive answer to a question raised by Alberti in connection with a recent result by Brezis-Nguyen. We show the existence of currents associated with graphs of maps in trace spaces that have vanishing mean oscillation. The degree of such maps may be written in terms of these currents, of which we give some structure properties. We also deal with relevant examples.