Document Type

Contribution to Book

Publication Date

1-1-2014

Publication Title

Fully Nonlinear PDEs in Real and Complex Geometry and Optics

Abstract

These lecture focus on two vector-valued extremal problems which have a common feature in that the corresponding energy functionals involve L1 norm of an energy density rather than the more familiar Lp norms. Specifically, we will address (a) the problem of extremal quasiconformal mappings and (b) the problem of absolutely minimizing Lipschitz extensions.

First Page Number

1

Last Page Number

46

DOI

10.1007/978-3-319-00942-1_1

Version

Preprint

Rights

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.

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