The Div-Curl Lemma Revisited
Polisevski, Dan
Original · EN
The Div-Curl Lemma, which is the basic result of the compensated compactness theory in Sobolev spaces, was introduced by F. Murat (1978) with distinct proofs for the L²(Ω) and Lᵖ(Ω), p ≠ 2, cases. In this note we present a slightly different proof, relying only on a Green-Gauss integral formula and on the usual Rellich-Kondrachov compactness properties.
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