Geodesic
An estimate for solutions of the Stokes equations in exteriour domains
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 9, Tome 180 (1990), pp. 105-120 
P. Maremonti; V. A. Solonnikov. An estimate for solutions of the Stokes equations in exteriour domains. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 9, Tome 180 (1990), pp. 105-120. http://geodesic.mathdoc.fr/item/ZNSL_1990_180_a11/
@article{ZNSL_1990_180_a11,
     author = {P. Maremonti and V. A. Solonnikov},
     title = {An estimate for solutions of the {Stokes} equations in exteriour domains},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {105--120},
     year = {1990},
     volume = {180},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_180_a11/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A boundary value problem for the Stokes equations in an exterior domain $\Omega\subset\mathbb{R}^n$ with the Dirichlet condition on the boundary and a homogeneous condition at the infinity for the velocity vector field is considered. It is shown that the $L(p)-$norm of the $2^{\textrm{nd}}$ derivatives of this vector field is estimated by the same norm of the exterior forces vector field. This estimate holds for $p<\frac n2$; for $p\geqslant\frac n2$ it is valid only for a problem with modified conditions at the infinity.