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MR2166752 (2007g:35246) 35Q60 (31C12 35J55 42B25 58A14 58J32)
Mitrea, Marius Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds. Duke Math. J. 125 (2004), no. 3, 467–547.
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