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

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

2005-10-26

arxiv.org/abs/math/0510560v2

Mathematics

Analysis of PDEs

Scientific paper

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.

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