# Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds

Article

- Received:

DOI: 10.1007/BF02937433

- Cite this article as:
- Li, Y. & Ndiaye, C.B. J Geom Anal (2007) 17: 669. doi:10.1007/BF02937433

## 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.

### Math Subject Classifications

46E3526D10### Key Words and Phrases

Moser-Trudinger inequalityblow-up analysiscapacityextremal functionGreen function## Copyright information

© Mathematica Josephina, Inc. 2007