Quasiconformal extension fields

Details Quasiconformal extension fields Quasiconformal extension fields

2010-06-11

arxiv.org/abs/1006.2259v1

Mathematics

Complex Variables

Scientific paper

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 $q$-harmonic
energy, and show that the energy minimizers admit higher integrability.

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