1 citations · 2 across the 6 of their papers we have counts for
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On the Musielak-Orlicz-Gauss image problem
Qingzhong Huang, Sudan Xing, Deping Ye +1
In the present paper we initiate the study of the Musielak-Orlicz-Brunn-Minkowski theory for convex bodies. In particular, we develop the Musielak-Orlicz-Gauss image problem aiming…
The general dual-polar Orlicz-Minkowski problem
Sudan Xing, Deping Ye, Baocheng Zhu
This paper gives a systematic study to the general dual-polar Orlicz-Minkowski problem (e.g., Problem \ref{general-dual-polar}). This problem involves the general dual volume $\wid…
General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem II
Richard J. Gardner, Daniel Hug, Sudan Xing +1
The general dual volume $\dveV(K)$ and the general dual Orlicz curvature measure $\deV(K, \cdot)$ were recently introduced for functions $G: (0, \infty)\times \sphere\rightarrow (0…
General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I
Richard J. Gardner, Daniel Hug, Wolfgang Weil +2
The general volume of a star body, a notion that includes the usual volume, the th dual volumes, and many previous types of dual mixed volumes, is introduced. A corresponding ne…
On the general dual Orlicz-Minkowski problem
Sudan Xing, Deping Ye
For a convex body with the origin in its interior, and a continuous function, define the general…
The dual Orlicz-Minkowski problem
Baocheng Zhu, Sudan Xing, Deping Ye
In this paper, the dual Orlicz curvature measure is proposed and its basic properties are provided. A variational formula for the dual Orlicz-quermassintegral is established in ord…