Graphs of $W^{1,1}$-maps with values in $S^{1}$: relaxed energies, minimal connections and lifting

DOI10.1017/S0308210506000308zbMath1141.58008OpenAlexW2161380268MaRDI QIDQ5441696

Mariano Giaquinta, Domenico Mucci

Publication date: 15 February 2008

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210506000308

zbMATH Keywords

rectifiable currentsgraphsunit sphereminimal connections\(W^{1,1}\)-energyvolume 1-form

Mathematics Subject Classification ID

Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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