Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation
Annales de l'I.H.P. Analyse non linéaire, Volume 31 (2014) no. 5, p. 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 : https://doi.org/10.1016/j.anihpc.2013.07.010
Keywords: Vanishing mean oscillation, Currents, Trace spaces
@article{AIHPC_2014__31_5_1015_0,
author = {Acerbi, Emilio and Mucci, Domenico},
title = {Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {31},
number = {5},
year = {2014},
pages = {1015-1034},
doi = {10.1016/j.anihpc.2013.07.010},
zbl = {1311.46027},
mrnumber = {3258364},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2014__31_5_1015_0}
}

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, Volume 31 (2014) no. 5, pp. 1015-1034. doi : 10.1016/j.anihpc.2013.07.010. http://www.numdam.org/item/AIHPC_2014__31_5_1015_0/

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