A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian

M. Briane, Juan Casado-Diaz

In this paper a new div-curl result is established in an open set $\Omega$ of ${\mathbb{R}}^N$, $N\ge 2$, for the product of two sequences of vector-valued functions which are bounded re…