Author

Qianyun Miao

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Preprint Jul 2026

The $L^p$ Neumann problem for the Stokes system in nonsmooth domains

We study the $L^p$ Neumann problem for the Stokes system on bounded Lipschitz domains in $\mathbb R^n$ with $n\ge 2$. Our main contribution is to introduce a nonlinear gradient quantity -- namely, the linear gradient weighted by a suitable power of the pair $(\nabla u,\phi)$ -- in place of the standard linear gradient...

Qianyun Miao, Fa Peng · 0 citations