Generalized ${\mathbf{W}}^{1,1}$-Young measures and relaxation of problems with linear growth

Margarida Baia, Stefan Krömer, Martin Kružík

We completely characterize generalized Young measures generated by sequences of gradients of maps from $W^{1,1}(\Omega ;{\mathbb{R}}^M)$ where $\Omega \subset {\mathbb{R}}^N$. This extends and completes previous a…