Sequential weak continuity of null Lagrangians at the boundary

Agnieszka Kalamajska, Stefan Kroemer, Martin Kruzik

We show weak* in measures on $\overline{Ø}$/ weak-$L^1$ sequential continuity of $u\mapsto f(x,\nabla u):W^{1,p}(Ø;{\mathbb{R}}^m)\to L^1(Ø)$, where $f(x,\cdot )$ is a null Lagrangian for $x\in Ø$, i…