no. 1
A notion of total variation depending on a metric with discontinuous coefficients
Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 1, pp. 91-133 
@article{AIHPC_1994__11_1_91_0,
     author = {Amar, M. and Bellettini, G.},
     title = {A notion of total variation depending on a metric with discontinuous coefficients},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {91--133},
     year = {1994},
     publisher = {Gauthier-Villars},
     volume = {11},
     number = {1},
     mrnumber = {1259102},
     zbl = {0842.49016},
     language = {en},
     url = {https://www.numdam.org/item/AIHPC_1994__11_1_91_0/}
}
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Amar, M.; Bellettini, G. A notion of total variation depending on a metric with discontinuous coefficients. Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 1, pp. 91-133. https://www.numdam.org/item/AIHPC_1994__11_1_91_0/

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