57 citations · 252 across the 40 of their papers we have counts for
4 papers · 2 filters
The Sobolev Jordan-Schonflies Problem
Aleksis Koski, Jani Onninen
We consider the planar unit disk as the reference configuration and a Jordan domain as the deformed configuration, and study the problem of extending a give…
Quasiregular curves: Hölder continuity and higher integrability
Jani Onninen, Pekka Pankka
We show that a -quasiregular -curve from a Euclidean domain to a Euclidean space with respect to a covector is locally -Hölder continu…
Sobolev homeomorphic extensions onto John domains
Pekka Koskela, Aleksis Koski, Jani Onninen
Given the planar unit disk as the source and a Jordan domain as the target, we study the problem of extending a given boundary homeomorphism as a Sobolev homeomorphism. For general…
The Dirichlet Principle for Inner Variations
Tadeusz Iwaniec, Jani Onninen
We are concerned with the Dirichlet energy of mappings defined on domains in the complex plane. The motivation behind our questions, however, comes from more general energy integra…