Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation
Acerbi, Emilio ; Mucci, Domenico
Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014), p. 1015-1034 / Harvested from Numdam
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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.

@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},
     volume = {31},
     year = {2014},
     pages = {1015-1034},
     doi = {10.1016/j.anihpc.2013.07.010},
     mrnumber = {3258364},
     zbl = {1311.46027},
     language = {en},
     url = {http://dml.mathdoc.fr/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, Tome 31 (2014) pp. 1015-1034. doi : 10.1016/j.anihpc.2013.07.010. http://gdmltest.u-ga.fr/item/AIHPC_2014__31_5_1015_0/

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