Zheng Zhu

activity

20182022

most citedDeformations of Bi-conformal Energy and a new Characterization of Quasiconformality

12 citations · 17 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.AP2022

Zero volume boundary for extension domains from Sobolev to $B V$

Tapio Rajala, Zheng Zhu

In this note, we prove that the boundary of a $(W^{1, p}, B V)$ -extension domain is of volume zero under the assumption that the domain $\boz$ is $1$ -fat at almost every $x\in\parti…

math.AP2021

The extension property for domains with one singular point

Pekka Koskela, Zheng Zhu

An arbitrary outward cuspidal domain is shown to be bi-Lipschitz equivalent to a Lipschitz outward cuspidal domain via a global transformation. This allows us to extend earlier Sob…

math.AP2020

The volume of the boundary of a Sobolev $(p, q)$ -extension domain

Pekka Koskela, Alexander Ukhlov, Zheng Zhu

Let $n \geq 2$ and $1\leq q<p<\fz$. We prove that if $Ω \subset R^{n}$ is a Sobolev $(p, q)$ -extension domain, with additional capacitory restrictions on boundary in the case $q…

Zero volume boundary for extension domains from Sobolev to BV

The extension property for domains with one singular point

The volume of the boundary of a Sobolev (p,q)-extension domain

Zero volume boundary for extension domains from Sobolev to $B V$

The volume of the boundary of a Sobolev $(p, q)$ -extension domain