Boundary Vanishing Orders and Asymptotic Expansions for Planar Harmonic Functions with a Sublinear Robin Condition
Year: 2026
Type: preprint
Abstract: We study boundary vanishing orders and asymptotic expansions of planar harmonic functions satisfying the sublinear Robin condition $\partial_νu=λu-|u|^{p-1}u,$ with $λ\geq0$ and $0m$. Integer critical vanishing orders are excluded if the boundary is $C^1$ with Dini mean oscillation.
Source: arXiv (Cornell University)
Authors: Liu, Hairong, Tian, Long, Yang, Xiaoping
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G48529154, G6917912577
OpenAlex ID: W7221757366