Ning Zhang

activity

20132017

most citedAleksandrov projection problem for convex lattice sets

2 citations · 4 across the 6 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.FA2017

On bodies with congruent sections or projections

Ning Zhang

In this paper, we construct two convex bodies $K$ and $L$ in $R^{n}$ , $n \geq 3$ , such that their projections $K ∣ H$ , $L ∣ H$ onto every subspace $H$ are congruent, but neverthe…

math.MG2017

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 $k$ -dimensional subspaces…

math.MG2017★ 1 cited

The $p$ -capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems

Han Hong, Deping Ye, Ning Zhang

In this paper, combining the $p$ -capacity for $p \in (1, n)$ with the Orlicz addition of convex domains, we develop the $p$ -capacitary Orlicz-Brunn-Minkowski theory. In particular,…

On bodies with congruent sections or projections

Grünbaum's inequality for sections

The p-capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems

The $p$ -capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems