Boundary estimates for elliptic operators in divergence form with VMO coefficients
Analysis of PDEs
2025-02-06 v1
Abstract
We establish boundary regularity estimates for elliptic systems in divergence form with VMO coefficients. Additionally, we obtain nondegeneracy estimates of the Hopf-Oleinik type lemma for elliptic equations. In both cases, the moduli of continuity are expressed in terms of the -mean oscillations of the coefficients and data.
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Cite
@article{arxiv.2502.02755,
title = {Boundary estimates for elliptic operators in divergence form with VMO coefficients},
author = {Hongjie Dong and Seongmin Jeon},
journal= {arXiv preprint arXiv:2502.02755},
year = {2025}
}
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17 pages