The Hardy--Schrödinger Operator on the Poincaré Ball: Compactness and Multiplicity

Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert

Let $\Omega$ be a compact smooth domain containing zero in the Poincaré ball model of the Hyperbolic space ${\mathbb{B}}^n$ ($n\ge 3$) and let $-{\Delta }_{{\mathbb{B}}^n}$ be the Laplace-Bel…