4 problems

Strict-hierarchy conjecture. If $q<2$, then

Binding conjecture. For every $N\geq2$ and every $1<p<\min\left(2,1+\frac{2}{d}\right)$, the binding inequalities

Fractional Lieb-Thirring coupling conjecture. The optimal constant also satisfies

Let the interaction parameter satisfy $\beta\in(0,1]$, and let $\{\Gamma_N\}_{N=1}^{\infty}$ be a sequence of quantum BBGKY hierarchy solutions satisfying the energy condition … fo…