Abstract
We study Γ-convergence of nonconvex integrals of the calculus of variations in strongly connected sets when the integrands do not have polynomial growth and can take infinite values. Applications to homogenization of unbounded integrals in strongly perforated sets are also developed.
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Notes
1 The abbreviation ru-usc means radially uniformly upper semicontinuous.
2 The abbreviation lsc means lower semicontinuous.
3 Given a set X and a function , by the effective domain of f we mean the set of such that .
4 By Alexandrov's theorem we mean the following result: weakly if and only if for all bounded Borel sets with .
5 For and , and is defined by .