Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2

Li, Yuxiang; Liu, Pan; Yang, Yunyan

Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2

Authors

Li, Yuxiang

Liu, Pan

Yang, Yunyan

Description

Let $(M,g)$ be a 2-dimensional compact Riemannian manifold. In this paper, we use the method of blowing up analysis to prove several Moser-Trdinger type inequalities for vector bundle over $(M,g)$. We also derive an upper bound of such inequalities under the assumption that blowing up occur.