Quasiconformal extension fields
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🧮 math.CV
keywords
energyfieldsconsiderextensionquasiconformaladmitbounddegree
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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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