Boundary estimates for elliptic operators in divergence form with VMO coefficients

2025/02/04 by Dong, Hongjie, Jeon, Seongmin
#35J15 #35J47 #35J67 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.02755

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 L^p-mean oscillations of the coefficients and data.

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