2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62100De 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.13 pagesAnalysis of PDEsA negative answer to a one-dimensional symmetry problem in the Heisenberg grouptext