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math.AP2026
An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds
Zhonggan Huang, Raghavendra Venkatraman
We establish optimal convergence rates for Steklov eigenvalues and harmonically extended eigenfunctions toward their weighted Laplace--Beltrami counterparts on a closed manifold pe…
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…