Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg Groups and existence of ground state solutions

Jungang Li, Guozhen Lu, Maochun Zhu

Let ${\mathbb{H}}^n={\mathbb{C}}^n\times \mathbb{R}$ be the $n$-dimensional Heisenberg group, $Q=2n+2$ be the homogeneous dimension of ${\mathbb{H}}^n$. We extend the well-known con…