A note on the log-perturbed Brézis-Nirenberg problem on the hyperbolic space

Monideep Ghosh, Anumol Joseph, Debabrata Karmakar

We consider the log-perturbed Brézis-Nirenberg problem on the hyperbolic space \begin{align*} Δ_{\mathbb{B}^N}u+λu +|u|^{p-1}u+θu \ln u^2 =0, \ \ \ \ u \in H^1(\mathbb{B}^N), \ u >…