Global Div-Curl lemma in negative Sobolev spaces

This paper studies the global version of the Div-Curl lemma in negative Sobolev spaces in bounded domains in R3. We proved that for the two sequences {uj}j=1∞ and {vj}j=1∞ converging to u and v weakly in Lr(Ω) and Lr′(Ω), respectively, with r and r′ being conjugate exponents and 1