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The necessary condition for the discrete L0-Minkowski problem in \({\mathbb{R}}^{2}\)

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Abstract.

We prove that the sufficiency condition employed to show the existence and, in certain cases the uniqueness, of solutions to the discrete, planar L 0-Minkowski problem with data containing, at least, a pair of opposite vectors is also a necessary condition.

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  1. Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, QC, H3G 1M8, Canada

    Alina Stancu

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  1. Alina Stancu
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Correspondence to Alina Stancu.

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Stancu, A. The necessary condition for the discrete L0-Minkowski problem in \({\mathbb{R}}^{2}\) . J. geom. 88, 162–168 (2008). https://doi.org/10.1007/s00022-007-1937-4

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  • DOI: https://doi.org/10.1007/s00022-007-1937-4

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