A negative answer to a one-dimensional symmetry problem in the Heisenberg group

Details A negative answer to a one-dimensional symmetry problem in the Heisenberg group A negative answer to a one-dimensional symmetry problem in the Heisenberg group

2001-08-29

arxiv.org/abs/math/0108198v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

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.

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