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Spacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domains

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Abstract

In this paper, we prove an existence theorem for spacelike convex hypersurfaces of prescribed Gauss curvature in Minkowski space.

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Authors and Affiliations

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, 430071, P. R. China

    Yong Huang

  2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China

    Yong Huang

  3. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China

    Huai Yu Jian & Ning Su

Authors
  1. Yong Huang
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  2. Huai Yu Jian
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  3. Ning Su
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Corresponding author

Correspondence to Yong Huang.

Additional information

The first author is supported by Tianyuan fund for mathematics (10826060), the third author is partially supported by NSFC under the grant 10471072

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Huang, Y., Jian, H.Y. & Su, N. Spacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domains. Acta. Math. Sin.-English Ser. 25, 491–502 (2009). https://doi.org/10.1007/s10114-008-6010-1

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  • DOI: https://doi.org/10.1007/s10114-008-6010-1

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