2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57935A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the sides of the polyhedron. The authors prove the existence of solutions in (weighted and non-weighted) $L_p$ Sobolev spaces and obtain regularity assertions for weak solutions. The results are based on point estimates of Green's matrix.40 pagesMathematical PhysicsAnalysis of PDEs35J25; 35J55; 35Q30text