Abstract
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.
| Original language | English |
|---|---|
| Article number | 39 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2019 |
| State | Published - 2019 |
Keywords
- Boundary regularity
- Elliptic equations
- Strong Solutions
- Unbounded drift