We prove a homogenization theorem for non-convex functionals depending on vector- valued functions, defined on Sobolev spaces with respect to oscillating measures. The proof combines the use of the localization methods of convergence with a ' discretization' argument, which allows to link the oscillating energies to functionals defined on a single Lebesgue space, and to state the hypothesis of p- connectedness of the underlying periodic measure in a handy way.
Braides, A., Chiado Piat, V. (2008). Non convex homogenization problems for singular structures. NETWORKS AND HETEROGENEOUS MEDIA, 3(3), 489-508.
Non convex homogenization problems for singular structures
BRAIDES, ANDREA;
2008-01-01
Abstract
We prove a homogenization theorem for non-convex functionals depending on vector- valued functions, defined on Sobolev spaces with respect to oscillating measures. The proof combines the use of the localization methods of convergence with a ' discretization' argument, which allows to link the oscillating energies to functionals defined on a single Lebesgue space, and to state the hypothesis of p- connectedness of the underlying periodic measure in a handy way.File in questo prodotto:
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