4 problems

Coercivity conjecture. The coercivity condition is generally satisfied: there exist constants $c_{\mathcal{H}_{{K}^E}},c_{\mathcal{H}_{{K}^A}}>0$ such that

Let $p\in(0,1)$, and consider a particle moving in the $(H;p)$ model, with reflecting structures defined by the particle's trajectory as in the paper. Almost-sure reflecting-struct…

Asymptotic-acceleration conjecture. If $E$ is smaller than $|\Psi'|$ and $\Psi'(r)\geq 0$, then the result remains valid; if $\Psi'(r)<0$ for some $r$, then $\dot\xi(t)/t$ should c…

Singularity-threshold conjecture. The threshold value separating the existence and nonexistence of the runaway effect is $\alpha=2$.