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math.AP2019
On an $H^r(\curl,Ø)$ estimate for a Maxwell-type system in convex domains
Xingfei Xiang
In bounded convex domains, the regularity estimates of a vector field $\u$ with its $\dv\u$, $\curl\u$ in space and the tangential components or the normal component of $\u$…
math.AP2014
Hardy-type inequalities for vector fields with the tangential components vanishing
Xingfei Xiang, Zhibing Zhang
This note studies the Hardy-type inequalities for vector fields with the norm of the $\curl$. In contrast to the well-known results in the whole space for the divergence-free…