Multiscale homogenization of convex functionals with discontinuous integrand
| dc.creator | Barchiesi, Marco | |
| dc.date | 2005-06-20 | |
| dc.date | 2006-01-12 | |
| dc.date.accessioned | 2026-07-07T06:42:29Z | |
| dc.date.available | 2026-07-07T06:42:29Z | |
| dc.description | This article is devoted to obtain the $Γ$-limit, as $ε$ tends to zero, of the family of functionals $$F_ε(u)=\int_Ωf\Bigl(x,\frac{x}ε,..., \frac{x}{ε^n},\nabla u(x)\Bigr)dx$$, where $f=f(x,y^1,...,y^n,z)$ is periodic in $y^1,...,y^n$, convex in $z$ and satisfies a very weak regularity assumption with respect to $x,y^1,...,y^n$. We approach the problem using the multiscale Young measures. | |
| dc.description | 18 pages; a slight change in the title; to be published in J. Convex Anal. 14 (2007), No. 2 | |
| dc.identifier | https://arxiv.org/abs/math/0506409 | |
| dc.identifier | http://arxiv.org/abs/math/0506409 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102058 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 28A20, 35B27, 35B40, 74Q05 | |
| dc.title | Multiscale homogenization of convex functionals with discontinuous integrand | |
| dc.type | text |