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Convex Functions with Unbounded Gradient

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Abstract

We show that domains, that allow for convex functions with unbounded gradient at their boundary, are convex.

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Reference

  1. Neil S. Trudinger and Xu-Jia Wang, Affine complete locally convex hypersurfaces, Invent. Math. 150 (2002), no. 1, 45–60.

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Authors and Affiliations

  1. FU Berlin, Arnimallee 2-6, 14195, Berlin, Germany

    Oliver C. Schnürer

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  1. Oliver C. Schnürer
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Correspondence to Oliver C. Schnürer.

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The author is a member of SFB 647/B3 “Raum - Zeit - Materie”

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Schnürer, O.C. Convex Functions with Unbounded Gradient. Results. Math. 48, 158–161 (2005). https://doi.org/10.1007/BF03322903

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  • DOI: https://doi.org/10.1007/BF03322903

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