5 problems

Fine-property conjecture. For all $u\in \mathrm{BD}_{\mathrm{dev}}(\Omega)$, one has

Let $u\in\operatorname{BD}_{\mathrm{loc}}(\mathbb{R}^d)$, let $E^s u$ denote the singular part of its symmetrized distributional derivative, and let $\operatorname{Tan}(E^s u,x_0)$…

Let $u\in\operatorname{BD}_{\mathrm{loc}}(\mathbb{R}^d)$, with $S_u$ its approximate discontinuity set and $J_u$ its jump set. BD jump-set conjecture. For all…

BD symmetric-gradient rank-one conjecture. For every function $ubegin{smallmatrix}[-2pt][-2pt]in[-2pt][-2pt] BD( Omega)$, there exist measurable vectors $a(x),b(x)in R^d$ such that

Conjecture on generalised minima. If, for every $\eta\in\mathbb{R}^{n}\setminus\{0\}$, $f_{\eta}$ is a strictly convex norm and generalised minima are unique modulo rigid deformati…