Topological Effects on Bubbling in the Critical Dirichlet Problem on Hyperbolic Domains: $3\le N\le 5$

Tapendu Rana, Michael Ruzhansky, Zhipeng Yang

Let \(Ω\Subset\mathbb H^N\), \(N\in\{3,4,5\}\), be a bounded connected \(C^2\) domain. We prove that the pure critical Dirichlet problem \[ -Δ_{\mathbb H}u=u^{\frac{N+2}{N-2}} \qua…