3 problems

Deformation conjecture. Every smooth, non-self-intersecting $U\in{\mathcal A}$ can be smoothly deformed into $U_R$ along a path contained in ${\mathcal A}$.

In the case $\Omega=\mathbb R^2$, consider the higher-order energy scaling and the minimization problem for $s$ sets $S(m_l)$ together with elements of $\mathcal Z_1$ outside a com…

Let $\Omega\subset\mathbb R^2$ be a domain in the scaled-volume-energy model, with surface densities defined through the corresponding cell problem. The case…