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Nirenberg’s problem on domains in the 2-sphere

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Abstract

In this article, we consider the problem of prescribing Gaussian curvature on domains in the unit 2-sphere. We obtain the existence result for any domain with area between (2π, 4π) and having at least 2 boundary components.

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Authors and Affiliations

  1. Institute of Mathematics, Academic Sinica, Beijing, China

    Guofang Wang

  2. Max-Planck Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Guofang Wang

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  1. Guofang Wang
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Wang, G. Nirenberg’s problem on domains in the 2-sphere. J Geom Anal 11, 717–726 (2001). https://doi.org/10.1007/BF02930764

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  • DOI: https://doi.org/10.1007/BF02930764

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