Huang–Zhao open question on radial Hénon-type equations

Huang and Zhao asked whether every radial solution of the hyperbolic Hénon-type equation is stable when $n\ge 10+4\alpha$. A new preprint claims an affirmative answer and a complete classification of radial solution structures for all stated dimensions and parameters.

September 2026 claimed resolution

Yahui Jiang and Xianmei Zhou transform the radial hyperbolic problem into a weighted Euclidean equation and apply separation results. They claim stability for every radial solution when $n\ge 3$, $\alpha>-2$, and $n\ge 10+4\alpha$, with additional structural classifications for the remaining parameter ranges, including $n=2$.

Current status (as of September 2026): The question is claimed solved by Jiang and Zhou’s preprint, but the proof remains unverified; no independent confirmation or reported correction is available.