Solutions of the Allen-Cahn equation which are invariant under screw-motion

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Abstract

We study entire solutions of the Allen-Cahn equation which are defined in the 3-dimensional Euclidean space and which are invariant under screw-motion. In particular, we discuss the existence and non existence of nontrivial solutions whose nodal set is a helicoid of ℝ 3.

Original languageEnglish
Pages (from-to)273-286
Number of pages14
JournalManuscripta Mathematica
Volume138
Issue number3-4
DOIs
Publication statusPublished - 1 Jul 2012

ASJC Scopus subject areas

  • Mathematics(all)

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