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, P. G. Ciarlet, P. Ciarlet, and J. , Vector and scalar potentials, Poincar??'s theorem and Korn's inequality, Comptes Rendus Mathematique, vol.345, issue.11, pp.603-608, 2007.
DOI : 10.1016/j.crma.2007.10.020

C. Amrouche, P. G. Ciarlet, L. Gratie, and S. Kesavan, On the characterizations of matrix fields as linearized strain tensor fields, Journal de Math??matiques Pures et Appliqu??es, vol.86, issue.2, pp.116-132, 2006.
DOI : 10.1016/j.matpur.2006.04.004

C. Amrouche and V. Girault, Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension, Czech. Math. J, vol.44, pp.109-140, 1994.

C. Amrouche and V. Girault, Probì emes généralisés de Stokes, Portug. Math, vol.49, pp.463-503, 1992.

C. Bernardi and V. Girault, Espaces duaux des domaines des opérateurs divergence et rotationnel avec trace nulle, Publications du Laboratoire J.L. Lions R, p.3017, 2003.

W. Borchers and H. Sohr, On the equations rot v=g and div u=f with zero boundary conditions, Hokkaido Mathematical Journal, vol.19, issue.1, pp.19-67, 1990.
DOI : 10.14492/hokmj/1381517172

P. G. Ciarlet, P. Ciarlet, and J. , ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY, Mathematical Models and Methods in Applied Sciences, vol.15, issue.02, pp.259-271, 2005.
DOI : 10.1142/S0218202505000352

P. G. Ciarlet, P. Ciarlet, J. , G. Geymonat, and F. Krasucki, Characterization of the kernel of the operator CURL???CURL, Comptes Rendus Mathematique, vol.344, issue.5, pp.344-305, 2007.
DOI : 10.1016/j.crma.2007.01.001

URL : https://hal.archives-ouvertes.fr/hal-00583961

R. Dautray and J. L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, 1987.

P. Fernandes and G. Gilardi, Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions, Mathematical Models and Methods in Applied Sciences, vol.07, issue.07, pp.957-991, 1997.
DOI : 10.1142/S0218202597000487

G. Geymonat and F. Krasucki, Some remarks on the compatibilty conditions in elasticity, Accad. Naz. Sci. XL, vol.123, pp.175-182, 2005.

G. Geymonat and F. Krasucki, Beltrami's solutions of general equilibrium equations in continuum mechanics, Comptes Rendus Mathematique, vol.342, issue.5, pp.342-359, 2006.
DOI : 10.1016/j.crma.2005.12.031