Two-channel global compactness and existence for critical GJMS equations on hyperbolic space

Jungang Li, Zhiwei Wang

Let $P_m$ be the GJMS operator of order $2m$ on real hyperbolic space, $n>2m$. For the critical equation \[ P_m u+a(x)u=|u|^{4m/(n-2m)}u \quad\text{on }\HH^n, \] where $0\leq a\in…