The Journal of Geometric Analysis

, Volume 17, Issue 4, pp 669-699

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

  • Yuxiang LiAffiliated withMathematics Section, ICTP Email author 
  • , Cheikh Birahim NdiayeAffiliated withS. I. S. S. A.

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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.

Math Subject Classifications

46E35 26D10

Key Words and Phrases

Moser-Trudinger inequality blow-up analysis capacity extremal function Green function