Homogenization of Thin Structures by Two-Scale Method with Respect to Measures

To the aim of studying the homogenization of low-dimensional periodic structures, we identify each of them with a periodic positive measure $\mu$ on $\ren$. We introduce a new notion of two-scale convergence for a sequence of functions $v_\e \in L ^p_{\me} (\O; \re ^d)$, where $\O$ is an open bounde... View More