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

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dc.creatorBirindelli, I.
dc.creatorLanconelli, E.
dc.date2001-08-29
dc.date.accessioned2026-07-07T04:43:10Z
dc.date.available2026-07-07T04:43:10Z
dc.descriptionDe 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0108198
dc.identifierhttp://arxiv.org/abs/math/0108198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62100
dc.subjectAnalysis of PDEs
dc.titleA negative answer to a one-dimensional symmetry problem in the Heisenberg group
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