Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds
- Cite this article as:
- Li, Y. & Ndiaye, C.B. J Geom Anal (2007) 17: 669. doi:10.1007/BF02937433
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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.