no. 5
Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation
Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 5, pp. 1015-1034.

We give a positive answer to a question raised by Alberti in connection with a recent result by Brezis and 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.

DOI : 10.1016/j.anihpc.2013.07.010
Mots clés : Vanishing mean oscillation, Currents, Trace spaces 
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     title = {Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation},
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Acerbi, Emilio; Mucci, Domenico. Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation. Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 5, pp. 1015-1034. doi : 10.1016/j.anihpc.2013.07.010. http://www.numdam.org/articles/10.1016/j.anihpc.2013.07.010/

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