Uniform estimates with data from generalized Lebesgue spaces in periodic structures

초록

We study various types of uniform Calderon-Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and weighted Orlicz spaces, which are generalized Lebesgue spaces, provided that the coefficients have small BMO seminorms and the domains are delta-Reifenberg domains.

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