4 problems

Global mountain-pass minimizer conjecture. The global mountain pass solution is also a global constrained minimizer of the strain energy.

Uniqueness conjecture. The optimal measures $\mu$ are unique and satisfy

Order-one error conjecture. The error after the leading logarithmic term should be of order $1$; equivalently, the deviation of $h^{-2}\min_{y\in V_\gamma}E_h(y)$ from…

Let $B_1=\{x\in\mathbb{R}^2:|x|\leq 1\}$ be the reference configuration of a two-dimensional sheet, and let $y:B_1\to\mathbb{R}^3$ be a deformation subject to the constraint that…