Quasiconformal extension fields

Pankka, Pekka; Rajala, Kai
September 2011
Calculus of Variations & Partial Differential Equations;Sep2011, Vol. 42 Issue 1/2, p73
Academic Journal
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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