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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103818Let $(M,g)$ 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.Analysis of PDEsMoser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2text