J. Silfver, Department of Engineering, Physics and Mathematics, Mid Sweden University, SE-831 25 Ostersund, Sweden, e-mail: jeanette.silfver@miun.se
Abstract: 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.
Keywords: homogenization, $G$-convergence, two-scale convergence
Classification (MSC 2000): 35B27
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