57 citations · 257 across the 23 of their papers we have counts for
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math.DG2009★ 7 cited
Doubly connected minimal surfaces and extremal harmonic mappings
Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
The concept of a conformal deformation has two natural extensions: quasiconformal and harmonic mappings. Both classes do not preserve the conformal type of the domain, however they…
math.CV2009
The Nitsche conjecture
Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
The conjecture in question concerns the existence of a harmonic homeomorphism between circular annuli A(r,R) and A(r*,R*), and is motivated in part by the existence problem for dou…
math.CV2009★ 1 cited
Harmonic mappings of an annulus, Nitsche conjecture and its generalizations
Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
As long ago as 1962 Nitsche conjectured that a harmonic homeomorphism between planar annuli exists if and only if $\frac{R_*}{r_*} \ge {1/2} (\fra…