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| Volume 7, Number 3, December 2006, pp. 443-452 | ||||||||
| Bruno Franchi and Elena Serra | ||||||||
| Key words: | ||||||||
| Mathematices Subject Classification: | ||||||||
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| Volume 7, Number 3, December 2006, pp. 443-452 | ||||||||
| Bruno Franchi and Elena Serra | ||||||||
| Key words: | ||||||||
| Mathematices Subject Classification: | ||||||||
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| Abstract: | |||
| In this note we present the results of the recent paper [14] concerning a class of Ginzburg{Landau functionals Eg associated with a couple of non-commuting vector fields. We study the asymptotic behavior of the minimizers, showing that it is independent of the topological degree of the boundary datum. Moreover, we prove uniqueness and regularity of the minimizer of the limit problem, in spite of the lack of lifting theorems in the natural function spaces for the limit functional. | |||
| Degenerate Ginzburg-Landau functionals | ||