Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space

Matteo Bonforte, Filippo Gazzola, Gabriele Grillo +1

We study the Emden-Fowler equation $-\Delta u=|u{|}^{p-1}u$ on the hyperbolic space ${\mathbb{H}}^n$. We are interested in radial solutions, namely solutions depending only on the geodesic…