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math.CV2018
Monotone Hopf-Harmonics
Tadeusz Iwaniec, Jani Onninen
The present paper introduces the concept of monotone Hopf-harmonics in as an alternative to harmonic homeomorphisms. It opens a new area of study in Geometric Function Theory…
math.CV2018
Sobolev homeomorphic extensions
Aleksis Koski, Jani Onninen
Let and be -connected Jordan domains, , with rectifiable boundaries in the complex plane. We prove that any boundary homeomorphism…