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On general two-scale convergence and its application to the characterization of $$G$$-limits. (English) Zbl 1164.35318
Summary: We characterize some $$G$$-limits using two-scale techniques and investigate a method to detect deviations from the arithmetic mean in the obtained $$G$$-limit provided no periodicity assumptions are involved. We also prove some results on the properties of generalized two-scale convergence.

##### MSC:
 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
##### Keywords:
homogenization; $$G$$-convergence; two-scale convergence
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##### References:
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