4 problems

Landau-solution classification conjecture. Then $u$ is one of the Landau solutions, which are minus-one homogeneous and axisymmetric without swirl.

Asymptotic classification conjecture. If $p\in(1,2_m^*-1)$, then

Let $m\in\mathbb N^+$, set $N=2m$, and let $n>N$. Consider positive singular solutions $u\in C^N(\mathbb R^n\setminus\{0\})$ of … where…

Upper-branch fold conjecture. The upper solution branch undergoes infinitely many folds, and $\lambda$ tends to a finite value bounded away from zero.