Yongpan Huang, Qiaozhu Zhai, Shulin Zhou
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.
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: yongpanhuang@xjtu.edu.cn, huangyongpan@gmail.com |
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Qiaozhu Zhai Systems Engineering Institute Xi'an Jiaotong University Xi'an 710049, China email: qzzhai@sei.xjtu.edu.cn |
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Shulin Zhou School of Mathematical Sciences Peking University Beijing, 100871, China email: szhou@math.pku.edu.cn |
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