%0 Journal Article
%T The Div-Curl Lemma Revisited
%A Dan Polisevski
%J Mathematics
%D 2007
%I arXiv
%X 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 $L^2(\Omega)$ and $L^p(\Omega)$, $p \neq 2$, 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.
%U http://arxiv.org/abs/0712.2133v1