# Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part

@article{Yang2022GlobalGE, title={Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part}, author={Sibei Yang and Dachun Yang and Wen Yuan}, journal={Advances in Nonlinear Analysis}, year={2022}, volume={11}, pages={1496 - 1530} }

Abstract Let n ≥ 2 n\ge 2 and Ω ⊂ R n \Omega \subset {{\mathbb{R}}}^{n} be a bounded nontangentially accessible domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems of second-order elliptic equations of divergence form with an elliptic symmetric part and a BMO antisymmetric part in Ω \Omega . More precisely, for any given p ∈ ( 2 , ∞ ) p\in \left(2,\infty ) , the authors prove that a weak reverse Hölder inequality with…

## One Citation

### Heat Kernels and Hardy Spaces on Non-Tangentially Accessible Domains with Applications to Global Regularity of Inhomogeneous Dirichlet Problems

- Mathematics
- 2022

Let n ≥ 2 and Ω be a bounded non-tangentially accessible domain (for short, NTA domain) of R. Assume that LD is a second-order divergence form elliptic operator having realvalued, bounded, measurable…

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