Boundary estimates for elliptic operators in divergence form with VMO coefficients

Fuente: arXiv
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Main Authors: Dong, Hongjie, Jeon, Seongmin
Format: Preprint
Published: 2025
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author Dong, Hongjie
Jeon, Seongmin
author_facet Dong, Hongjie
Jeon, Seongmin
contents 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 $L^p$-mean oscillations of the coefficients and data.
format Preprint
id arxiv_https___arxiv_org_abs_2502_02755
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Boundary estimates for elliptic operators in divergence form with VMO coefficients
Dong, Hongjie
Jeon, Seongmin
Analysis of PDEs
35J15, 35J47, 35J67
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 $L^p$-mean oscillations of the coefficients and data.
title Boundary estimates for elliptic operators in divergence form with VMO coefficients
topic Analysis of PDEs
35J15, 35J47, 35J67
url https://arxiv.org/abs/2502.02755