4 problems

The Kerr solution is the stationary, axisymmetric vacuum solution describing a rotating black hole, and a spinning ring of mass is a proposed material source for this field. Newman…

Persistence-of-Cat's-eyes conjecture. The conclusion of Theorem holds for all $s>0$.

Limiting-solutions conjecture. The singular solutions with $90$-degree corners seen in numerical computations exist as the weak limits of patches along $\mathscr C$ as $s\to\infty$…

Let $M_1$ be the operator on $V_1$ in the current setting, where $A(x_3)=x_3$, $B(x_3)=\Omega+\lambda_2x_3$, and assume $\Omega>0$. Linear stability conjecture. The evolution group…