On symmetric div-quasiconvex hulls and divsym-free ${\mathrm{L}}^{\infty }$-truncations

Linus Behn, Franz Gmeineder, Stefan Schiffer

We establish that for any non-empty, compact set $K\subset {\mathbb{R}}_{\mathrm{sym}}^{3\times 3}$ the $1$- and $\infty$-symmetric div-quasiconvex hulls $K^{(1)}$ and $K^{(\infty )}$…