# Sobolev maps into the projective line with bounded total variation

created by mucci on 01 Mar 2010
modified on 28 Jul 2011

[BibTeX]

Published Paper

Inserted: 1 mar 2010
Last Updated: 28 jul 2011

Journal: Confluentes Math.
Volume: 2
Number: 2
Pages: 181-216
Year: 2010

Abstract:

Variational problems for Sobolev maps with bounded total variation that take values into the 1-dimensional projective space are studied. We focus on the different features from the case of Sobolev maps with bounded conformal $p$-energy that take values into the $p$-dimensional projective space, for \,$p\geq 2$\, integer, recently studied in 18.