CONVERGENCE OF A CLASS OF DEGENERATE GINZBURG-LANDAU FUNCTIONALS AND REGULARITY FOR A SUBELLIPTIC HARMONIC MAP EQUATION

摘要

In this paper, we consider a class of Ginzburg-Landau functionals Ee associated with a couple of non-commuting vector fields which yield a "degenerate" energy. We study the asymptotic behavior of the minimizers, showing that it does not depend on the topological degree of the boundary datum; and 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.