Manual G-Convergence and Homogenization

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Various applications of the homogenization theory of partial differential equations resulted in the further development of this branch of mathematics, attracting an.
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Adams: Sobolev Spaces.

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Academic Press, New York. Allaire: Two-scale convergence and homogenization of periodic structures. Allaire: Homogenization of the unsteady Stokes equation in porous media. Bandle et al. Allaire: Homogenization and two-scale convergence.

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Convergence rates in homogenization of p -Laplace equations | Boundary Value Problems | Full Text

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Shen, Z. Mathematics 10 , — Suslina, T. Mathematika 59 , — SIAM J. Wang, L. Zeidler, E. Springer, New York Zhao, J. Download references. The author would like to thank the reviewers for their valuable comments and helpful suggestions to improve the quality of this paper. The part of this work was done while the author was visiting school of mathematics and applied statistics, University of Wollongong, Australia.

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Correspondence to Jie Zhao. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Reprints and Permissions. Search all SpringerOpen articles Search. Abstract This paper is concerned with homogenization of p -Laplace equations with rapidly oscillating periodic coefficients. Introduction In this paper, we shall establish the rates of convergence for p -Laplace equations with rapidly oscillating periodic coefficients. Preliminaries We begin by specifying our notations.

Proposition 2. Definition 2.