Geodesic
On some stationary problems of magnetohydrodynamics in multi-connected domains
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Tome 397 (2011), pp. 126-149

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We prove maximal regularity estimates in the Sobolev spaces $W^2_p$ and in the Hölder spaces $C^{2+\alpha}$ for weak solutions of stationary problems of magnetohydrodynamics. We give precise formulation of these problems in multi-connected domains. 
@article{ZNSL_2011_397_a6,
     author = {Sh. Sakhaev and V. A. Solonnikov},
     title = {On some stationary problems of magnetohydrodynamics in multi-connected domains},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {126--149},
     publisher = {mathdoc},
     volume = {397},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_397_a6/}
}
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Sh. Sakhaev; V. A. Solonnikov. On some stationary problems of magnetohydrodynamics in multi-connected domains. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Tome 397 (2011), pp. 126-149. http://geodesic.mathdoc.fr/item/ZNSL_2011_397_a6/