Structure of radial solutions to a Hénon type equation with exponential nonlinearity on the hyperbolic space
Year: 2026
Type: preprint
Abstract: In this paper, we study the separation and stability properties of radial solutions to a Hénon-type equation with exponential nonlinearity on the hyperbolic space. By transforming the radial hyperbolic equation into a weighted Euclidean equation and applying well-established separation results in Euclidean space, we classify the solution structures or establish sharp alternatives for radial solutions throughout the full range $n\ge2$ and $α>-2$. We also give an affirmative answer to the open question recently posed by Huang and Zhao.
Source: arXiv (Cornell University)
Authors: Jiang, Yahui, Zhou, Xianmei
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214008060