Abstract
We devote this paper to classifying radial solutions of a weighted semilinear elliptic equation on the hyperbolic space. More precisely, for a weighted Lane-Emden equation on the hyperbolic space, we shall study the sign and asymptotic behavior of the radial solutions. We shall also show the existence of fast-decay sign-changing solutions to the Lane-Emden equation on the hyperbolic space.
Citation
Shoichi Hasegawa. "Classification of radial solutions to Hénon type equation on the hyperbolic space." Topol. Methods Nonlinear Anal. 54 (1) 81 - 108, 2019. https://doi.org/10.12775/TMNA.2019.026