\(L^p\)-strong solution for the stationary exterior Stokes equations with Navier boundary condition (Q2673667)

Let \(\Omega \subset \mathbb{R}^3\) be an unbounded domain with compact boundary of class \(C^{2,1}\) such that \(\mathbb{R}^3\setminus \overline \Omega \) is connected. The paper studies the Stokes system with Navier boundary condition \( -\Delta u+\nabla p=f\), \( \nabla \cdot u=0 \) in \( \Omega \), \( u_n=g\), \( [T(u,p)n^\Omega +\alpha u]_\tau = h \) on \( \partial \Omega \). A solution \( (u,p)\) is from the weighted Sobolev spaces \( W^{2,q}_{k+1}(\Omega )\times W^{1,q}_{k+1}(\Omega )\).