16 citations · 45 across the 24 of their papers we have counts for
9 papers · 1 filter
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.…
The Lp centro-sectional Minkowski problem
Karoly J. Boroczky, Jiaqian Liu, Renqing You
As part of Lutwak's broadening of the Brunn-Minkowski theory, and extending the notion of affine quermassintegrals and dual curvature measure discussed by Milman, Yehudayoff and Hu…
Quantitative Stability for Minkowski's problem
Károly Böröczky, João Miguel Machado, João P. G. Ramos
We derive quantitative stability results for Minkowski bodies, as well as their counterparts, the -Minkowski bodies in the range . We prove that, for every pai…
Compactness of the dual Minkowski problem in
Karoly J. Boroczky, Shibing Chen, Weiru Liu +1
We prove the estimate for the th dual Minkowski problem on under fairly general conditions; namely, when lies in [0,1) and , and the th dua…
Uniqueness in the near isotropic Lp dual Minkowski problem
Karoly J. Boroczky, Shibing Chen, Weiru Liu +1
For n>1 and -1<p<1, we prove that if q is close to n and the qth Lp dual curvature is Holder close to be the constant one function, then this "near isotropic" qth Lp dual Minkowski…
The Logarithmic Minkowski conjecture and the -Minkowski Problem
Karoly J. Boroczky
The current state of art concerning the Minkowski problem as a Monge-Ampere equation on the sphere and Lutwak's Logarithmic Minkowski conjecture about the uniqueness of even…