O. Hafsa, On the integral representation of relaxed functionals with convex bounded constraints, ESAIM: Control, Optimisation and Calculus of Variations, vol.351, issue.1, pp.37-57, 2010.
DOI : 10.1090/S0002-9947-99-02520-9

URL : https://hal.archives-ouvertes.fr/hal-01005499

O. Anza-hafsa and J. Mandallena, Interchange of infimum and integral, Calculus of Variations and Partial Differential Equations, vol.18, issue.4, pp.433-449, 2003.
DOI : 10.1007/s00526-003-0211-3

O. Anza-hafsa and J. Mandallena, Relaxation of second order geometric integrals and non-local effects, J. Nonlinear Convex Anal, vol.5, issue.3, pp.295-306, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01646612

O. Anza-hafsa and J. Mandallena, Relaxation of variational problems in two-dimensional nonlinear elasticity, Ann. Mat. Pura Appl, vol.4, issue.1861, pp.187-198, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00584066

O. Anza-hafsa and J. Mandallena, Relaxation theorems in nonlinear elasticity, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.25, issue.1, pp.135-148, 2008.
DOI : 10.1016/j.anihpc.2006.11.005

URL : https://hal.archives-ouvertes.fr/hal-00584068

O. Anza-hafsa and J. Mandallena, Homogenization of nonconvex integrals with convex growth, Journal de Math??matiques Pures et Appliqu??es, vol.96, issue.2, pp.167-189, 2011.
DOI : 10.1016/j.matpur.2011.03.003

URL : https://hal.archives-ouvertes.fr/hal-00797715

O. Anza-hafsa and J. Mandallena, Homogenization of unbounded singular integrals in W 1,? , Ric, Mat, vol.61, issue.2, pp.185-217, 2012.

O. Anza-hafsa and J. Mandallena, On the relaxation of unbounded multiple integrals, p.2012
URL : https://hal.archives-ouvertes.fr/hal-00958314

O. Anza-hafsa and J. Mandallena, Radial representation of lower semicontinuous envelope, Bollettino dell'Unione Matematica Italiana, vol.16, issue.1, pp.1-18, 2014.
DOI : 10.1051/cocv:2008063

URL : https://hal.archives-ouvertes.fr/hal-00958312

O. Anza-hafsa and J. Mandallena, Abstract, Advances in Calculus of Variations, vol.8, issue.1, pp.69-91, 2015.
DOI : 10.1515/acv-2013-0207

O. Anza-hafsa, J. Mandallena, and H. Zorgati, Homogenization of unbounded integrals with quasiconvex growth, Annali di Matematica Pura ed Applicata (1923 -), vol.17, issue.1, pp.1619-1648, 2015.
DOI : 10.1007/BF00284506

URL : https://hal.archives-ouvertes.fr/hal-01302578

G. Bouchitté and M. Bellieud, Regularization of a set function?application to integral representation, Ric. Mat, vol.49, pp.79-93, 2000.

A. Björn and J. Björn, Nonlinear Potential Theory on Metric Spaces, EMS Tracts in MathematicsEMS), vol.17, 2011.
DOI : 10.4171/099

G. Bouchitte, G. Buttazzo, and P. Seppecher, Energies with respect to a measure and applications to low dimensional structures, Calculus of Variations and Partial Differential Equations, vol.5, issue.1, pp.37-54, 1997.
DOI : 10.1007/s005260050058

URL : https://hal.archives-ouvertes.fr/hal-01283232

G. Bouchitté, I. Fonseca, and L. Mascarenhas, A Global Method for Relaxation, Archive for Rational Mechanics and Analysis, vol.145, issue.1, pp.51-98, 1998.
DOI : 10.1007/s002050050124

J. Björn, L q -differentials for weighted Sobolev spaces, Mich, Math. J, vol.47, issue.1, pp.151-161, 2000.

G. Buttazzo and . Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations, Pitman Research Notes in Mathematics Series Longman Scientific & Technical, vol.207, 1989.

S. Conti and G. Dolzmann, On the Theory of Relaxation in Nonlinear Elasticity with Constraints on the Determinant, Archive for Rational Mechanics and Analysis, vol.4, issue.2, pp.413-437, 2015.
DOI : 10.1016/j.crma.2009.01.024

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

A. Gregory, V. V. Chechkin, D. Jikov, A. L. Lukkassen, and . Piatnitski, On homogenization of networks and junctions, Asymptot. Anal, vol.30, issue.1, pp.61-80, 2002.

H. Tobias, W. P. Colding, and I. Minicozzi, Liouville theorems for harmonic sections and applications, Commun. Pure Appl. Math, vol.51, issue.2, pp.113-138, 1998.

M. Duerinckx and A. Gloria, Stochastic Homogenization of Nonconvex Unbounded Integral Functionals with Convex Growth, Archive for Rational Mechanics and Analysis, vol.99, issue.3, pp.1511-1584, 2016.
DOI : 10.1007/BF00284506

URL : https://hal.archives-ouvertes.fr/hal-01192752

E. De-giorgi and G. Letta, Une notion générale de convergence faible pour des fonctions croissantes d'ensemble, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (4), vol.4, issue.1, pp.61-99, 1977.

H. Federer, Geometric Measure Theory, Die Grundlehren der mathematischen Wissenschaften, 1969.

B. Franchi, P. Haj?asz, and P. Koskela, Definitions of Sobolev classes on metric spaces, Annales de l???institut Fourier, vol.49, issue.6, pp.1903-1924, 1999.
DOI : 10.5802/aif.1742

F. Ilaria, Lower semicontinuity of multiple ?-quasiconvex integrals, ESAIM Control Optim. Calc. Var, vol.9, pp.105-124, 2003.

J. Gong and P. Haj?asz, Differentiability of p-harmonic functions on metric measure spaces, Potential Anal, pp.79-93, 2013.

V. Gol-'dshtein and M. Troyanov, Axiomatic theory of Sobolev spaces, Expositiones Mathematicae, vol.19, issue.4, pp.289-336, 2001.
DOI : 10.1016/S0723-0869(01)80018-9

P. Haj?asz, Sobolev spaces on metric-measure spaces, Contemp. Math, vol.338, pp.173-218, 2002.
DOI : 10.1090/conm/338/06074

P. Haj?asz and P. Koskela, Sobolev meets Poincaré, C. R. Acad. Sci. Paris Sér. I Math, vol.320, issue.10, pp.1211-1215, 1995.

J. Heinonen and P. Koskela, Quasiconformal maps in metric spaces with controlled geometry, Acta Mathematica, vol.181, issue.1, pp.1-61, 1998.
DOI : 10.1007/BF02392747

URL : http://doi.org/10.1007/bf02392747

H. Hakkarainen, J. Kinnunen, P. Lahti, and P. Lehtelä, Abstract, Analysis and Geometry in Metric Spaces, vol.27, issue.1, pp.288-313, 2016.
DOI : 10.1007/s13163-013-0130-6

J. Heinonen, P. Koskela, N. Shanmugalingam, and J. T. Tyson, Sobolev Spaces on Metric Measure Spaces, New Mathematical Monographs, vol.27
DOI : 10.1017/CBO9781316135914

O. Anza-hafsa and J. P. Mandallena, ?-limits of functionals determined by their infima, J. Convex Anal, vol.23, issue.1, pp.103-137, 2016.

S. Keith, A differentiable structure for metric measure spaces, Advances in Mathematics, vol.183, issue.2, pp.271-315, 2004.
DOI : 10.1016/S0001-8708(03)00089-6

URL : https://doi.org/10.1016/s0001-8708(03)00089-6

J. Mandallena, On the relaxation of nonconvex superficial integral functionals, Journal de Math??matiques Pures et Appliqu??es, vol.79, issue.10, pp.1011-1028, 2000.
DOI : 10.1016/S0021-7824(00)01184-3

URL : https://hal.archives-ouvertes.fr/hal-01644831

J. Mandallena, Quasiconvexification of geometric integrals, Annali di Matematica Pura ed Applicata, vol.184, issue.4, pp.473-493, 2005.
DOI : 10.1007/s10231-004-0123-7

URL : https://hal.archives-ouvertes.fr/hal-01644843

J. Mandallena, Localization principle and relaxation, Advances in Calculus of Variations, vol.6, issue.2, pp.217-246, 2013.
DOI : 10.1515/acv-2013-0101

URL : https://hal.archives-ouvertes.fr/hal-01400348

M. Mocanu, Variational integrals in metric measure spaces, Stud, Cercet. ?tiin?. -Univ. Bac?u, Ser. Mat, issue.15, pp.67-89, 2005.

J. Mandallena and M. Sychev, New classes of integral functionals for which the integral representation of lower semicontinuous envelopes is valid, Doklady Mathematics, vol.94, issue.1, pp.430-433, 2016.
DOI : 10.1134/S1064562416040207

URL : https://hal.archives-ouvertes.fr/hal-01400352

J. Mandallena and M. Sychev, New relaxation theorems with applications to strong materials, Proc. R. Soc. Edinb., Sect. A, 2017.

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

S. Mikhail, Attainment and relaxation results in special classes of deformations, Calc. Var. Partial Differ. Equ, vol.19, issue.2, pp.183-210, 2004.

S. Mikhail, Semicontinuity and relaxation theorems for integrands satisfying the fast growth condition, Sib. Mat. Zh, vol.46, issue.3, pp.679-697, 2005.

S. Mikhail, First general lower semicontinuity and relaxation results for strong materials, J. Convex Anal, vol.17, issue.1, pp.183-202, 2010.

V. V. Zhikov, Homogenization of elasticity problems on singular structures, Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, vol.66, issue.2, pp.81-148, 2002.
DOI : 10.4213/im380