Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models

Elvise Berchio, Alberto Ferrero, Gabriele Grillo

We study existence, uniqueness and stability of radial solutions of the Lane-Emden-Fowler equation $-{\Delta }_{g}u=|u{|}^{p-1}u$ in a class of Riemannian models $(M,g)$ of dimension $n\ge 3$…