Document Type

Article

Publication Date

8-1-2012

Publication Title

Journal of Differential Equations

Abstract

We study C 2 extremal quasiconformal mappings in space and establish necessary and sufficient conditions for a 'localized' form of extremality in the spirit of the work of G. Aronsson on absolutely minimizing Lipschitz extensions. We also prove short-time existence for smooth solutions of a gradient flow of QC diffeomorphisms associated to the extremal problem.

Keywords

Extremal quasiconformal mappings, Flow of diffeomorphisms, Quasiconformal mappings in rn, Trace dilation

Volume

253

Issue

3

First Page

851

Last Page

877

DOI

10.1016/j.jde.2012.04.015

ISSN

00220396

Comments

Archived as published.

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