Quasiconformal extension fields
Complex Variables
2010-06-14 v1
Abstract
We consider extensions of differential fields of mappings and obtain a lower energy bound for quasiconformal extension fields in terms of the topological degree. We also consider the related minimization problem for the -harmonic energy, and show that the energy minimizers admit higher integrability.
Cite
@article{arxiv.1006.2259,
title = {Quasiconformal extension fields},
author = {Pekka Pankka and Kai Rajala},
journal= {arXiv preprint arXiv:1006.2259},
year = {2010}
}