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math.AP2026
Quantitative homogenization of elliptic equations with infinitely many scales
Zhongwei Shen, Yao Xu, Jinping Zhuge
In this paper, we develop a general homogenization theory for elliptic equations with coefficients that oscillate periodically at infinitely many scales $\varepsilon = (\varepsilon…
math.AP2026
Large-scale harmonic measures and nontangential maximal functions in periodic homogenization
Zhongwei Shen, Jinping Zhuge
In this paper, we consider the elliptic operators with periodic coefficients in a bounded domain without any…
math.AP2026
Stability of Dirichlet problem under small bi-Lipschitz transformations of domains
Joseph Feneuil, Linhan Li, Jinping Zhuge
We show that small bi-Lipschitz deformations of a Lipschitz domain (with possibly large Lipschitz constant) preserve the solvability of the Dirichlet problem for the Laplacian with…