L. Ambrosio, Metric space valued functions of bounded variation, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.17, issue.4 3, pp.439-478, 1990.

J. Bourgain, H. Brezis, and P. Mironescu, Another look at Sobolev spaces, Optimal Control and Partial Differential Equations, pp.439-455, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00747692

J. Bourgain and H. Nguyen, A new characterization of Sobolev spaces, Comptes Rendus Mathematique, vol.343, issue.2
DOI : 10.1016/j.crma.2006.05.021

V. I. Burenkov, Sobolev spaces on domains, 1998.
DOI : 10.1007/978-3-663-11374-4

J. Cheeger, Differentiability of Lipschitz Functions on Metric Measure Spaces, Geometric And Functional Analysis, vol.9, issue.3, pp.428-517, 1999.
DOI : 10.1007/s000390050094

D. Chiron, Regularity of minimizers of a Ginzburg-Landau type energy with metric cone target space

G. Dal-maso, An introduction to ?-convergence. Progress in Nonlinear Differential Equations and their Applications, Birkhäuser, vol.8, 1993.

J. Davila, On an open question about functions of bounded variations, Calculus of Variations and Partial Differential Equations, vol.15, issue.4, pp.519-527, 2002.
DOI : 10.1007/s005260100135

M. Gromov and R. Schoen, Harmonic maps into singular spaces andp-adic superrigidity for lattices in groups of rank one, Publications math??matiques de l'IH??S, vol.1, issue.2, pp.165-246, 1992.
DOI : 10.1007/BF02699433

J. Heinonen, P. Koskela, N. Shanmugalingam, and J. Tyson, Sobolev classes of Banach space-valued functions and quasiconformal mappings, Journal d'Analyse Math??matique, vol.36, issue.2, pp.87-139, 2001.
DOI : 10.1007/BF02788076

J. Jost, Equilibrium maps between metric spaces, Calculus of Variations and Partial Differential Equations, vol.271, issue.2, pp.173-204, 1994.
DOI : 10.1007/BF01191341

URL : http://nbn-resolving.de/urn/resolver.pl?urn=urn:nbn:de:bvb:12-bsb00057421-1

N. J. Korevaar and R. M. Schoen, Sobolev spaces and harmonic maps for metric space targets, Communications in Analysis and Geometry, vol.1, issue.4, pp.561-659, 1993.
DOI : 10.4310/CAG.1993.v1.n4.a4

N. J. Korevaar and R. M. Schoen, Global existence theorems for harmonic maps to non-locally compact spaces, Communications in Analysis and Geometry, vol.5, issue.2, pp.333-387, 1997.
DOI : 10.4310/CAG.1997.v5.n2.a4

H. Nguyen, Some new characterizations of Sobolev spaces, Journal of Functional Analysis, vol.237, issue.2
DOI : 10.1016/j.jfa.2006.04.001

S. Ohta, Cheeger type Sobolev spaces for metric space targets. Potential Anal, pp.149-175, 2004.

A. C. Ponce, A new approach to Sobolev spaces and connections to $\mathbf\Gamma$ -convergence, Calculus of Variations and Partial Differential Equations, vol.19, issue.3, pp.229-255, 2004.
DOI : 10.1007/s00526-003-0195-z

A. C. Ponce, An estimate in the spirit of Poincar??'s inequality, Journal of the European Mathematical Society, issue.6, pp.1-15, 2004.
DOI : 10.4171/JEMS/1

Y. G. Reshetnyak, Sobolev-type classes of functions with values in a metric space, Siberian Mathematical Journal, vol.96, issue.No. 5, pp.567-583, 1997.
DOI : 10.1007/BF02683844

N. Shanmugalingam, Newtonian spaces: An extension of Sobolev spaces to metric measure spaces, Revista Matem??tica Iberoamericana, vol.16, issue.2, pp.243-279, 2000.
DOI : 10.4171/RMI/275