%0 Journal Article
%T A negative answer to a one-dimensional symmetry problem in the Heisenberg group
%A I. Birindelli
%A E. Lanconelli
%J Mathematics
%D 2001
%I arXiv
%X De Giorgi conjectured that bounded monotone solutions to the Ginzburg-Landau equation are constant along hyperplanes, in this paper we prove that in the Heisenberg group this conjecture doesn't hold true with respect to the center direction.
%U http://arxiv.org/abs/math/0108198v1