2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144147The 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 $L^2(Ω)$ and $L^p(Ω)$, $p \neq 2$, 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.Functional AnalysisAnalysis of PDEs49J45; 46E40; 47B07text