Article ID Journal Published Year Pages File Type
4611575 Journal of Differential Equations 2012 27 Pages PDF
Abstract

We study C2 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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis