# Homogenization of periodic nonconvex integral functionals in terms of Young measures

Omar Anza Hafsa; Jean-Philippe Mandallena; Gérard Michaille

ESAIM: Control, Optimisation and Calculus of Variations (2006)

- Volume: 12, Issue: 1, page 35-51
- ISSN: 1292-8119

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topHafsa, Omar Anza, Mandallena, Jean-Philippe, and Michaille, Gérard. "Homogenization of periodic nonconvex integral functionals in terms of Young measures." ESAIM: Control, Optimisation and Calculus of Variations 12.1 (2006): 35-51. <http://eudml.org/doc/244977>.

@article{Hafsa2006,

abstract = {Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the $\Gamma $-limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.},

author = {Hafsa, Omar Anza, Mandallena, Jean-Philippe, Michaille, Gérard},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Young measures; homogenization},

language = {eng},

number = {1},

pages = {35-51},

publisher = {EDP-Sciences},

title = {Homogenization of periodic nonconvex integral functionals in terms of Young measures},

url = {http://eudml.org/doc/244977},

volume = {12},

year = {2006},

}

TY - JOUR

AU - Hafsa, Omar Anza

AU - Mandallena, Jean-Philippe

AU - Michaille, Gérard

TI - Homogenization of periodic nonconvex integral functionals in terms of Young measures

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2006

PB - EDP-Sciences

VL - 12

IS - 1

SP - 35

EP - 51

AB - Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the $\Gamma $-limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.

LA - eng

KW - Young measures; homogenization

UR - http://eudml.org/doc/244977

ER -

## References

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