The study of variational problems showing multi-scale behaviour
with oscillation or concentration phenomena are a challenging topic
of very active research. This volume collects lecture notes devoted
to the asymptotic analysis of such problems when the multi-scale
behaviour derives from scale separation in the passage from
atomistic systems to continuous functionals, from competition
between bulk and surface energies, from various types of
homogenization processes (random, in perforated domains, on
fractals), and to concentation effects in Ginzburg-Landau energies
and in subcritical growth problems.
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