Quasiconformal extension fields |
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| Authors: | Pekka Pankka Kai Rajala |
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| Institution: | 1. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, Helsinki, 00014, Finland
2. Department of Mathematics and Statistics, University of Jyv?skyl?, P.O. Box 35, Jyv?skyl?, 40014, Finland
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| Abstract: | We consider extensions of differential fields of mappings and obtain a lower bound for energy of 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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