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… 

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

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