Uniform estimates with data from generalized Lebesgue spaces in periodic structures

Abstract We study various types of uniform Calderón–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 gener...

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Bibliographic Details
Main Author: Yunsoo Jang
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-021-01504-x