Boundary regularity for nondivergence elliptic equation with unbounded drift

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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 languageEnglish
Article number39
JournalElectronic Journal of Differential Equations
Volume2019
StatePublished - 2019

Keywords

  • Boundary regularity
  • Elliptic equations
  • Strong Solutions
  • Unbounded drift

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