Geodesic
A Note on Div-Curl Lemma
Serdica Mathematical Journal, Tome 33 (2007) no. 2-3, pp. 339-350.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and $$div(u^−v^→) ∈ H^1(R^d)$$ which include as a particular case, the result of [3].
Keywords: Compactness Compensated, Hardy Space, Sobolev Space 
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     title = {A {Note} on {Div-Curl} {Lemma}},
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Gala, Sadek. A Note on Div-Curl Lemma. Serdica Mathematical Journal, Tome 33 (2007) no. 2-3, pp. 339-350. http://geodesic.mathdoc.fr/item/SMJ2_2007_33_2-3_a6/