2 papers
math.AP2026
Structure of radial solutions to a Hénon type equation with exponential nonlinearity on the hyperbolic space
Yahui Jiang, Xianmei Zhou
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…
math.AP2024
Symmetry of positive solutions to biharmonic Lane-Emden equation with singular set
Xia Huang, Yuan Li, Xianmei Zhou
In this paper, we are devoted to studying the positive weak, punctured or distributional solutions to the biharmonic Lane-Emden equation \begin{equation*} Δ^{2} u=u^{p} \quad \quad…