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Abstract: We consider extensions of differential fields of mappings and obtain a lowerenergy bound for quasiconformal extension fields in terms of the topologicaldegree. We also consider the related minimization problem for the $q$-harmonicenergy, and show that the energy minimizers admit higher integrability.



Autor: Pekka Pankka, Kai Rajala

Fuente: https://arxiv.org/







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