5 problems

Dimensional rigidity conjecture. Complex-elliptic constraints enforce $(n-1)$-dimensional rigidity.

Let $F$ be an $\mathbb{R}^d$-valued charge with $\operatorname*{div}F=0$, let $u$ be a measure on $mathbb{R}^d$, and let $K1,K2,ldots,Kd$ be sufficiently smooth functions on…

Constant-rank complex truncation conjecture. For every differential operator $\mathscr A_k$ in such an exact sequence, there exists $C_k>0$ such that, for every $u$ and $\lambda$ a…

Conti–Müller–Ortiz conjecture. The two hulls coincide:

Let $\Omega$ be the underlying domain, let $Z$ be the second-scale space, and let $\mathcal A$ be the differential constraint defining $\mathcal A$-free two-scale Young measures. L…