$L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension
Martin Dindoš, Vladimir Gilelevich Maz'ya · arXiv (Cornell University) · 2010
The Dirichlet boundary value problem for the Stokes operator with $L^p$ data in any dimension on domains with conical singularity (not necessary a Lipschitz graph) is considered. We establish the solvability of the problem for all $p\in (2-\varepsilon,\infty]$ and also its solvability in $C(\overline{D})$ for the data in $C(\partial D)$