14 citations · 37 across the 33 of their papers we have counts for
5 papers · 2 filters
Energy-minimal Principles in Geometric Function Theory
Tadeusz Iwaniec, Gaven Martin, Jani Onninen
We survey a number of recent developments in geometric analysis as they pertain to the calculus of variations and extremal problems in geometric function theory following the NZMRI…
The Teichmüller problem for -means of distortion
Gaven J. Martin, Cong Yao
Teichmüller's problem from 1944 is this: Given find and describe the extremal quasiconformal map $f:\ID\to\ID$, $f|\partial \ID=identity$ and . We consi…
Projections in moduli spaces of Kleinian groups
Hala Alaqad, Jianhua Gong, Gaven Martin
A two-generator Kleinian group can be naturally associated with a discrete group with the generator of order and where \begin{equ…
Extremal mappings of finite distortion and the Radon-Riesz property
Gaven Martin, Cong Yao
We consider Sobolev mappings $f\in W^{1,q}(Ω,\IC)$, , between planar domains $Ω\subset \IC$. We analyse the Radon-Riesz property for convex functionals of the form \[f\…
Chebyshev Polynomials and Inequalities for Kleinian Groups
Hala Alaqad, Jianhua Gong, Gaven Martin
The principal character of a representation of the free group of rank two into PSL(2, C) is a triple of complex numbers that determines an irreducible representation uniquely up to…