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Quasiconformal extension fields

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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Co-authorshipAuthorshipAuthorshipTopic signalWQuasiconformal extension fieldspreprint / 2010APekka PankkaResearcherAKai RajalaResearcherTmath.CV2062 works
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Quasiconformal extension fields

preprint / 2010

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