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math.FA2024
The Riesz -energy of log-concave functions and related Minkowski problem
Niufa Fang, Deping Ye, Zengle Zhang
We calculate the first order variation of the Riesz -energy of a log-concave function with respect to the Asplund sum. Such a variational formula induces the Riesz -energ…
math.MG2024
The dual Minkowski problem for unbounded closed convex sets
Wen Ai, Yunlong Yang, Deping Ye
The central focus of this paper is the dual Minkowski problem for -compatible sets, where is a pointed closed convex cone in with nonempty interior. Suc…