English

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

Analysis of PDEs 2007-05-23 v2

Abstract

Let (M,g)(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)(M,g). We also derive an upper bound of such inequalities under the assumption that blowing up occur.

Keywords

Cite

@article{arxiv.math/0510560,
  title  = {Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2},
  author = {Yuxiang Li and Pan Liu and Yunyan Yang},
  journal= {arXiv preprint arXiv:math/0510560},
  year   = {2007}
}