Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds
Analysis of PDEs
2007-05-23 v2 Functional Analysis
Abstract
Given a compact closed four dimensional smooth Riemannian manifold, we prove existence of extremal functions for Moser-Trudinger type inequality. The method used is Blow-up analysis combined with capacity techniques.
Cite
@article{arxiv.math/0609030,
title = {Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds},
author = {Yuxiang Li and Cheikh Birahim Ndiaye},
journal= {arXiv preprint arXiv:math/0609030},
year = {2007}
}