Graphs of $W^{1,1}$-maps with values in $S^{1}$: relaxed energies, minimal connections and lifting
Published online by Cambridge University Press: 18 September 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 $W^{1,p}$, $p\geq2$, with values in $S^2$.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 5 , October 2007 , pp. 937 - 962
- Copyright
- 2007 Royal Society of Edinburgh
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