L^∞-extremal Mappings in Amle and Teichmüller Theory

Authors

Luca Capogna, Worcester Polytechnic InstituteFollow

Document Type

Article

Publication Date

1-1-2014

Publication Title

Lecture Notes in Mathematics

Abstract

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

Volume

2087

First Page

1

Last Page

46

DOI

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

ISSN

00758434

Comments

Peer reviewed accepted manuscript.

Recommended Citation

Capogna, Luca, "L^∞-extremal Mappings in Amle and Teichmüller Theory" (2014). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/132