31 citations · 31 across the 4 of their papers we have counts for
5 papers
The Weighted Dual Minkowski Problem Under Group Symmetry
Karoly J. Boroczky, Stephanie Mui, Gaoyong Zhang
The paper studies the weighted dual Minkowski problem for the weighted th dual curvature measure of convex bodies in first posed by Huang, Lutwak, Yang, and Zhang.…
Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals
Shay Sadovsky, Gaoyong Zhang
This paper establishes two new geometric inequalities in the dual Brunn-Minkowski theory. The first, originally conjectured by Lutwak, is the Brunn-Minkowski inequality for dual qu…
Dual Curvature Density Equation with Group Symmetry
Károly J. Böröczky, Ágnes Kovács, Stephanie Mui +1
This paper studies the general Lp dual curvature density equation under a group symmetry assumption. This geometric partial differential equation arises from the general Lp dual Mi…
Chord Measures in Integral Geometry and Their Minkowski Problems
Erwin Lutwak, Dongmeng Xi, Deane Yang +1
To the families of geometric measures of convex bodies (the area measures of Aleksandrov-Fenchel-Jessen, the curvature measures of Federer, and the recently discovered dual curvatu…
Minkowski Problems for Geometric Measures
Yong Huang, Deane Yang, Gaoyang Zhzng
This paper describes the theory of Minkowski problems for geometric measures in convex geometric analysis. The theory goes back to Minkowski and Aleksandrov and has been developed…