Zhongwei Shen
Published 2021-05-27Version 1
This paper is concerned with boundary regularity estimates in the homogenization of elliptic equations with rapidly oscillating and high-contrast coefficients. We establish uniform nontangential-maximal-function estimates for the Dirichlet, regularity, and Neumann problems with $L^2$ boundary data in a periodically perforated Lipschitz domain.
Boundary regularity estimates in Hölder spaces with variable exponent
Boundary value problems for Willmore curves in $\mathbb{R}^2$
Boundary value problems for two dimensional steady incompressible fluids
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