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On the discrete Orlicz Minkowski problem II

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Abstract

The Orlicz Minkowski problem is a generalization of the \(L_p\) Minkowski problem. For a class of appropriate functions and discrete measures that have no essential subspaces, the existence is demonstrated for the discrete Orlicz Minkowski problem. This is a non-trivial extension of the discrete \(L_p\) Minkowski problem for \(p<0\).

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Acknowledgements

The authors are grateful to the reviewers for their careful reading and valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Yuchi Wu, Dongmeng Xi & Gangsong Leng

  2. Department of Mathematics, Fudan University, Shanghai, 200433, China

    Dongmeng Xi

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  1. Yuchi Wu
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  2. Dongmeng Xi
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  3. Gangsong Leng
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Correspondence to Yuchi Wu.

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Research of the first named and the third named authors are supported by NSFC 11671249 and Shanghai Leading Academic Discipline Project (S30104). Research of the second named author is sponsored by Shanghai Sailing Program 16YF1403800, NSFC 11601310, and CPSF BX201600035.

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Wu, Y., Xi, D. & Leng, G. On the discrete Orlicz Minkowski problem II. Geom Dedicata 205, 177–190 (2020). https://doi.org/10.1007/s10711-019-00471-z

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