Multiscale Homogenization of Convex Functionals with Discontinuous Coefficients
نویسنده
چکیده
This article is devoted to obtain the Γ-limit, as ε tends to zero, of the family of functionals u 7→ ∫ Ω f ( x, x ε , . . . , x ε ,∇u(x) ) dx, where f = f(x, y, . . . , yn, z) is periodic in y, . . . , yn, convex in z and satisfies a very weak regularity assumption with respect to x, y, . . . , yn. We approach the problem using the multiscale Young measures.
منابع مشابه
Multiscale Homogenization of Convex Functionals with Discontinuous Integrand
This article is devoted to obtain the Γ-limit, as ε tends to zero, of the family of functionals u 7→ ∫ Ω f ( x, x ε , . . . , x ε ,∇u(x) ) dx, where f = f(x, y, . . . , yn, z) is periodic in y, . . . , yn, convex in z and satisfies a very weak regularity assumption with respect to x, y, . . . , yn. We approach the problem using the multiscale Young measures.
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