A negative answer to a one-dimensional symmetry problem in the Heisenberg group
Analysis of PDEs
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0108198,
title = {A negative answer to a one-dimensional symmetry problem in the Heisenberg group},
author = {I. Birindelli and E. Lanconelli},
journal= {arXiv preprint arXiv:math/0108198},
year = {2007}
}
Comments
13 pages