F. Alliot and C. Amrouche, : AN APPROACH IN WEIGHTED SOBOLEV SPACES, Mathematical Models and Methods in Applied Sciences, vol.09, issue.05, pp.723-754, 1999.
DOI : 10.1142/S0218202599000361

F. Alliot and C. Amrouche, Weak solutions for the exterior Stokes problem in weighted Sobolev spaces, Mathematical Methods in the Applied Sciences, vol.37, issue.6, pp.575-600, 2000.
DOI : 10.1002/(SICI)1099-1476(200004)23:6<575::AID-MMA128>3.0.CO;2-4

C. Amrouche, C. Bernardi, M. Dauge, and V. Girault, Vector potentials in three-dimensional non-smooth domains, Mathematical Methods in the Applied Sciences, vol.2, issue.9, pp.823-864, 1998.
DOI : 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO;2-B

C. Amrouche and V. Girault, Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension, Czechoslovak Mathematical Journal, vol.44, issue.1191, pp.109-140, 1994.

C. Amrouche, V. Girault, and J. Giroire, Weighted Sobolev spaces for Laplace's equation in R n, Journal de Mathématiques Pures et Appliquées. Neuvième Série, vol.73, issue.6, pp.579-606, 1994.

C. Amrouche, V. Girault, and J. Giroire, Dirichlet and neumann exterior problems for the n-dimensional laplace operator an approach in weighted sobolev spaces, Journal de Math??matiques Pures et Appliqu??es, vol.76, issue.1, pp.55-81, 1997.
DOI : 10.1016/S0021-7824(97)89945-X

C. Amrouche and M. Meslameni, Stokes problem with several types of boundary conditions in an exterior domain, Electronic Journal of Differential Equations, vol.28, issue.196, p.2013
URL : https://hal.archives-ouvertes.fr/hal-00985042

C. Amrouche and N. E. Seloula, -THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS, Mathematical Models and Methods in Applied Sciences, vol.23, issue.01, pp.37-92, 2013.
DOI : 10.1142/S0218202512500455
URL : https://hal.archives-ouvertes.fr/hal-00206217

C. Barbarosie, Representation of divergence-free vector fields, Quarterly of Applied Mathematics, vol.69, issue.2, pp.309-316, 2011.
DOI : 10.1090/S0033-569X-2011-01215-2

T. Z. Boulmezaoud, On the Laplace operator and on the vector potential problems in the half-space: an approach using weighted spaces, Mathematical Methods in the Applied Sciences, vol.33, issue.8, pp.633-669, 2003.
DOI : 10.1002/mma.369

R. Farwig and H. Sohr, Weighted $L^{q}$ -theory for the Stokes resolvent in exterior domains, Journal of the Mathematical Society of Japan, vol.49, issue.2, pp.251-288, 1997.
DOI : 10.2969/jmsj/04920251

G. P. Galdi, An introduction to the mathematical theory of the Navier-Stokes equations

V. Girault, The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of R 3, Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics, vol.39, issue.2, pp.279-307, 1992.

V. Girault, The Stokes problem and vector potential operator in three-dimensional exterior domains: an approach in weighted Sobolev spaces, Differential Integral Equations, vol.7, issue.2, pp.535-570, 1994.

V. Girault, J. Giroire, and A. Sequeira, A stream-function-vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces, Mathematical Methods in the Applied Sciences, vol.8, issue.5, pp.345-363, 1992.
DOI : 10.1002/mma.1670150506

J. Giroire, Etude de quelques problèmes aux limites extérieurs et résolution par équations intégrales

P. Grisvard, Elliptic problems in nonsmooth domains, Monographs and Studies in Mathematics, vol.24, 1985.
DOI : 10.1137/1.9781611972030

B. Hanouzet, Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace, pp.227-272, 1971.

H. Kozono and T. Yanagisawa, $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains, Indiana University Mathematics Journal, vol.58, issue.4, pp.1853-1920, 2009.
DOI : 10.1512/iumj.2009.58.3605

P. B. Mucha and M. Pokorný, The Rot-Div System in Exterior Domains, Journal of Mathematical Fluid Mechanics, vol.20, issue.2, pp.701-720, 2014.
DOI : 10.1007/s00021-014-0181-6

M. Neudert and W. Wahl, Asymptotic behaviour of the div-curl problem in exterior domains Advances in Differential Equations, pp.1347-1376, 2001.

M. Specovius-neugebauer, -Spaces, Communications in Partial Differential Equations, vol.12, issue.3, pp.273-288, 1990.
DOI : 10.1215/S0012-7094-40-00725-6
URL : https://hal.archives-ouvertes.fr/hal-00357790

W. Wahl, Estimating ???u by divu and curlu, Mathematical Methods in the Applied Sciences, vol.2, issue.2, pp.123-143, 1992.
DOI : 10.1002/mma.1670150206