Blow-up exponents and a semilinear elliptic equation for the fractional Laplacian on hyperbolic spaces

Tommaso Bruno, Effie Papageorgiou

Let ${\mathbb{H}}^n$ be the $n$-dimensional real hyperbolic space, $\Delta$ its nonnegative Laplace--Beltrami operator whose bottom of the spectrum we denote by ${\lambda }_0$, and $\sigma \in (0,1)$.…