2 citations · 4 across the 6 of their papers we have counts for
6 papers
On bodies with congruent sections or projections
Ning Zhang
In this paper, we construct two convex bodies and in , , such that their projections , onto every subspace are congruent, but neverthe…
Grünbaum's inequality for sections
Sergii Myroshnychenko, Matthew Stephen, Ning Zhang
We show \begin{align*} \frac{ \int_{E \cap θ^+} f(x) dx }{ \int_E f(x) dx } \geq \left(\frac{k γ+1}{(n+1) γ+1}\right)^{\frac{k γ+1}γ} \end{align*} for all -dimensional subspaces…
The -capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems
Han Hong, Deping Ye, Ning Zhang
In this paper, combining the -capacity for with the Orlicz addition of convex domains, we develop the -capacitary Orlicz-Brunn-Minkowski theory. In particular,…
Aleksandrov projection problem for convex lattice sets
Ning Zhang
Let and be origin-symmetric convex integer polytopes in . We study a discrete analogue of the Aleksandrov projection problem. If for every …
Non-central sections of convex bodies
Vladyslav Yaskin, Ning Zhang
We study the following open problem, suggested by Barker and Larman. Let and be convex bodies in () that contain a Euclidean ball in their interio…
Isocapacity Estimates for Hessian Operators
Jie Xiao, Ning Zhang
Through a new powerful potential-theoretic analysis, this paper is devoted to discovering the geometrically equivalent isocapacity forms of Chou-Wang's Sobolev type inequality and…