3 citations · 3 across the 3 of their papers we have counts for
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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…
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\…
Higher regularity and uniqueness for inner variational equations
Gaven Martin, Cong Yao
We study local minima of the -conformal energy functionals, \[ \mathsf{E}_{\cal A}^\ast(h):=\int_\ID {\cal A}(\IK(w,h)) \;J(w,h) \; dw,\quad h|_\IS=h_0|_\IS, \] defined for self…
The Teichmüller theory: Existence and regularity of critical points
Gaven Martin, Cong Yao
We study minimisers of the -conformal energy functionals, \[ \mathsf{E}_p(f):=\int_\ID \IK^p(z,f)\,dz,\quad f|_\IS=f_0|_\IS, \] defined for self mappings $f:\ID\to\ID$ with fini…
Non-variational extrema of exponential Teichmüller spaces
Gaven Martin, Cong Yao
The exponential Teichmüller spaces , , interpolate between the classical Teichmüller space () and the space of harmonic diffeomorphisms .…