“….3],[30, Theorem 5.6],[53, Theorem 3.1]).Consequently, whenever condition (3.3) holds and for all given data (ξ, ζ) ∈ H −1 p (R n ) n × L p (R n ), there exists a unique solution (u, π) ∈ H 1 p (R n ) n × L p (R n ) of the equation T R n (u, π) = (ξ, ζ) or, equivalently, of the variational problem (3.4), satisfying inequality (3.5).Next we use Lemma 3.1 and show the well-posedness of the L ∞ -coefficient Stokes system in the space H 1 p (R n ) n × L p (R n ) for any p ∈ R(p * , n) (cf [38,. Theorem 4.2] for p = 2 with A(x) = µ(x)I, [42, Proposition 2.9] and [2, Theorem 3] for p ∈ (1, n) in the constant-coefficient case).…”