On a generalization of compensated compactness in the $L^p-L^q$ setting

Marin Misur, Darko Mitrovic

We investigate conditions under which, for two sequences $(u_r)$ and $(v_r)$ weakly converging to $u$ and $v$ in $L^p(R^d;R^N)$ and $L^q(R^d;R^N)$, respectively, $1/p+1/q\le 1$…