Cong Yao

activity

20192026

most citedThe

L^{p}

Teichmüller theory: Existence and regularity of critical points

3 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.CV2021

The Teichmüller problem for $L^{p}$ -means of distortion

Gaven J. Martin, Cong Yao

Teichmüller's problem from 1944 is this: Given $x \in [0, 1)$ find and describe the extremal quasiconformal map $f:\ID\to\ID$, $f|\partial \ID=identity$ and $f (0) = - x \leq 0$ . We consi…

math.CV2021

Extremal mappings of finite distortion and the Radon-Riesz property

Gaven Martin, Cong Yao

We consider Sobolev mappings $f\in W^{1,q}(Ω,\IC)$, $1 < q < \infty$ , between planar domains $Ω\subset \IC$. We analyse the Radon-Riesz property for convex functionals of the form \[f\…

The Teichmüller problem for Lp-means of distortion

Extremal mappings of finite distortion and the Radon-Riesz property

The Teichmüller problem for $L^{p}$ -means of distortion