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.
Sobolev maps into the projective line with bounded total variation / Mucci, Domenico. - In: CONFLUENTES MATHEMATICI. - ISSN 1793-7442. - 2:2(2010), pp. 181-216. [10.1142/S179374421000017X]
Sobolev maps into the projective line with bounded total variation
MUCCI, Domenico
2010
Abstract
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.
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