Cette Note présente un résultat d'homogénéisation périodique pour des énergies intégrales à croissance polynômiale. On utilise la méthode d'éclatement périodique qui réduit la démonstration à de la convergence faible dans un espace de Lebesgue.
We consider the periodic homogenization of nonlinear integral energies with polynomial growth. The study is carried out by the periodic unfolding method which reduces the homogenization process to a weak convergence problem in a Lebesgue space.
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Doina Cioranescu 1 ; Alain Damlamian 2 ; Riccardo De Arcangelis 3
@article{CRMATH_2004__339_1_77_0, author = {Doina Cioranescu and Alain Damlamian and Riccardo De~Arcangelis}, title = {Homogenization of nonlinear integrals via the periodic unfolding method}, journal = {Comptes Rendus. Math\'ematique}, pages = {77--82}, publisher = {Elsevier}, volume = {339}, number = {1}, year = {2004}, doi = {10.1016/j.crma.2004.03.028}, language = {en}, }
TY - JOUR AU - Doina Cioranescu AU - Alain Damlamian AU - Riccardo De Arcangelis TI - Homogenization of nonlinear integrals via the periodic unfolding method JO - Comptes Rendus. Mathématique PY - 2004 SP - 77 EP - 82 VL - 339 IS - 1 PB - Elsevier DO - 10.1016/j.crma.2004.03.028 LA - en ID - CRMATH_2004__339_1_77_0 ER -
Doina Cioranescu; Alain Damlamian; Riccardo De Arcangelis. Homogenization of nonlinear integrals via the periodic unfolding method. Comptes Rendus. Mathématique, Volume 339 (2004) no. 1, pp. 77-82. doi : 10.1016/j.crma.2004.03.028. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.03.028/
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