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Keywords = Orlicz–Minkowski problem

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14 pages, 279 KB  
Article
The Orlicz Electrostatic q-Capacity Minkowski Problem
by Hui Zeng, Lijuan Liu, Lu Yin and Rigao He
Axioms 2025, 14(2), 86; https://doi.org/10.3390/axioms14020086 - 24 Jan 2025
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Abstract
The existence of solutions to the discrete Orlicz electrostatic q-capacity Minkowski problem was given by Ji and Yang when 1<p<2. Now, we have studied the problem by removing the assumption that the measure μ does not have [...] Read more.
The existence of solutions to the discrete Orlicz electrostatic q-capacity Minkowski problem was given by Ji and Yang when 1<p<2. Now, we have studied the problem by removing the assumption that the measure μ does not have a pair of antipodal point masses. By means of approximation, the sufficient condition is given for the existence of solutions to this problem for general measures when 1<q<2, which is an extension of the Lp electrostatic q-capacity Minkowski problem when 1<q<2. Full article
(This article belongs to the Special Issue Advances in Convex Geometry and Analysis)
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