Variational problems for Sobolev maps with bounded total variation that take values into the one-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 ≥ 2 integer, recently studied in [19].
@article{CML_2010__2_2_181_0,
author = {Domenico Mucci},
title = {Sobolev maps into the projective line with bounded total variation},
journal = {Confluentes Mathematici},
pages = {181--216},
publisher = {World Scientific Publishing Co Pte Ltd},
volume = {2},
number = {2},
year = {2010},
doi = {10.1142/S179374421000017X},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.1142/S179374421000017X/}
}
TY - JOUR AU - Domenico Mucci TI - Sobolev maps into the projective line with bounded total variation JO - Confluentes Mathematici PY - 2010 SP - 181 EP - 216 VL - 2 IS - 2 PB - World Scientific Publishing Co Pte Ltd UR - https://cml.centre-mersenne.org/articles/10.1142/S179374421000017X/ DO - 10.1142/S179374421000017X LA - en ID - CML_2010__2_2_181_0 ER -
%0 Journal Article %A Domenico Mucci %T Sobolev maps into the projective line with bounded total variation %J Confluentes Mathematici %D 2010 %P 181-216 %V 2 %N 2 %I World Scientific Publishing Co Pte Ltd %U https://cml.centre-mersenne.org/articles/10.1142/S179374421000017X/ %R 10.1142/S179374421000017X %G en %F CML_2010__2_2_181_0
Domenico Mucci. Sobolev maps into the projective line with bounded total variation. Confluentes Mathematici, Tome 2 (2010) no. 2, pp. 181-216. doi : 10.1142/S179374421000017X. https://cml.centre-mersenne.org/articles/10.1142/S179374421000017X/
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