Boundary regularity for nondivergence elliptic equation with unbounded drift
Yongpan Huang, Qiaozhu Zhai, Shulin Zhou · DOAJ (DOAJ: Directory of Open Access Journals) · 2019
We obtain the pointwise boundary differentiability of strong solutions for elliptic equations with the lower order coefficients, the boundary, and the right-hand side term satisfying a Dini type condition. Furthermore, we establish a pointwise estimate of strong solutions and show that the gradients of the strong solutions are continuous along the boundary if the drift term, the boundary, and the right-hand side term satisfy a uniform Dini type condition on the boundary.