Solutions for stationary Navier-Stokes equations with non-homogeneous boundary conditions in symmetric domains of Rn

We study the non-homogeneous boundary value problem for the stationary Navier-Stokes equations in a multi-connected bounded domain of Rn, n≥4. This problem was fully solved by Korobkov, Pileckas and Russo in 2015 for domains in R2 and partially solved for symmetric domains in R3. In this paper, we prove the existence of solutions in higher dimensional symmetric domains, under the necessary conditions of zero total flux through the boundary.