English

Characterization of two-scale gradient Young measures and application to homogenization

Analysis of PDEs 2013-10-31 v2

Abstract

This work is devoted to the study of two-scale gradient Young measures naturally arising in nonlinear elasticity homogenization problems. Precisely, a characterization of this class of measures is derived and an integral representation formula for homogenized energies, whose integrands satisfy very weak regularity assumptions, is obtained in terms of two-scale gradient Young measures.

Keywords

Cite

@article{arxiv.math/0611313,
  title  = {Characterization of two-scale gradient Young measures and application to homogenization},
  author = {Jean-Francois Babadjian and Margarida Baia and Pedro M. Santos},
  journal= {arXiv preprint arXiv:math/0611313},
  year   = {2013}
}

Comments

23 pages

R2 v1 2026-07-22T17:46:06.415Z