Trudinger-Moser inequalities on a closed Riemannian surface with the action of a finite isometric group

Yu Fang, Yunyan Yang

Let $(\Sigma ,g)$ be a closed Riemannian surface, $W^{1,2}(\Sigma ,g)$ be the usual Sobolev space, $\text{G}$ be a finite isometric group acting on $(\Sigma ,g)$, and ${\mathcal{H}}_{\text{G}}$ be a…