12 citations · 20 across the 8 of their papers we have counts for
10 papers · 1 filter
On the Brunn-Minkowski theory and the Minkowski problem for -coconvex sets
Jin Yang, Deping Ye, Baocheng Zhu
Let be a pointed closed convex cone in with vertex at the origin and having nonempty interior. The set is -coconvex if the volume of is f…
Ulam floating functions
Chunyan Liu, Elisabeth M. Werner, Deping Ye +1
We extend the notion of Ulam floating sets from convex bodies to Ulam floating functions. We use the Ulam floating functions to derive a new variational formula for the affine surf…
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…