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math.AP2025
Homogenization of a vertical oscillating Neumann condition
William M Feldman, Zhonggan Huang
We homogenize the Laplace and heat equations with the Neumann data oscillating in the ``vertical" -variable. These are simplified models for interface motion in heterogeneous me…
math.AP2024
Regularity theory of a gradient degenerate Neumann problem
William Feldman, Zhonggan Huang
We study the regularity and comparison principle for a gradient degenerate Neumann problem. The problem is a generalization of the Signorini or thin obstacle problem which appears…