The existence of strong solutions to steady motion of electrorheological fluids in 3D cubic domain

In this paper, we prove the existence of strong solutions to steady motion of electrorheological fluids without restriction on a smallness of external force in 3D cubic domain. And we improve the lower bound on p(x)p(x) for regularity of solutions to the problem neglecting convective term even if p(x)p(x) is a constant.