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

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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.

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Authors and Affiliations

  1. Mathematics Section, ICTP, Strada Costiera 11, 34014, Trieste, Italy

    Yuxiang Li

  2. S. I. S. S. A., Via Beirut 2-4, 34014, Trieste, Italy

    Cheikh Birahim Ndiaye

Authors
  1. Yuxiang Li
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  2. Cheikh Birahim Ndiaye
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Corresponding author

Correspondence to Yuxiang Li.

Additional information

Acknowledgements and Notes. The second author has been supported by M.U.R.S.T. within the PRIN 2004 Variational methods and nonlinear differential equations.

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Li, Y., Ndiaye, C.B. Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds. J Geom Anal 17, 669–699 (2007). https://doi.org/10.1007/BF02937433

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  • DOI: https://doi.org/10.1007/BF02937433

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