L1-Poincar\'e and Sobolev inequalities for differential forms in Euclidean spaces
Abstract
In this paper, we prove Poincar\'e and Sobolev inequalities for differential forms in L1( Rn). The singular integral estimates that it is possible to use for Lp, p>1, are replaced here with inequalities which go back to Bourgain-Brezis.
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