Yongpan Huang, Qiaozhu Zhai, Shulin Zhou
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.
Submitted March 27, 2018. Published March 12, 2019.
Math Subject Classifications: 35J25, 35B65,
Key Words: Elliptic equations; strong Solutions; unbounded drift; boundary regularity.
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Yongpan Huang |
Department of Mathematics
Xi'an Polytechnic University
Xi'an 710048, China
email: firstname.lastname@example.org, email@example.com
| Qiaozhu Zhai |
Systems Engineering Institute
Xi'an Jiaotong University
Xi'an 710049, China
| Shulin Zhou |
School of Mathematical Sciences
Beijing, 100871, China
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