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

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

2006-11-10

arxiv.org/abs/math/0611313v2

Mathematics

Analysis of PDEs

23 pages

Scientific paper

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.

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