The aim of this paper is to link the analytic results of Brezis et al., Demengel and Ignat relative to W^(1,1)-mappings from B^n into S^1 to the measure-theoretical geometric results in our previous work. The paper also contains a few remarks about mappings in W^(1,p) with values in S^2.
Graphs of W^(1,1)-maps with values into S^1: relaxed energies, minimal connections and lifting / Giaquinta, M; Mucci, Domenico. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 137:5(2007), pp. 937-962.
Graphs of W^(1,1)-maps with values into S^1: relaxed energies, minimal connections and lifting
MUCCI, Domenico
2007
Abstract
The aim of this paper is to link the analytic results of Brezis et al., Demengel and Ignat relative to W^(1,1)-mappings from B^n into S^1 to the measure-theoretical geometric results in our previous work. The paper also contains a few remarks about mappings in W^(1,p) with values in S^2.
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