Solutions of the Allen-Cahn equation which are invariant under screw-motion
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2012Metadata
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Pino Manresa, Manuel del
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Solutions of the Allen-Cahn equation which are invariant under screw-motion
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. © 2012 Springer-Verlag.
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URI: https://repositorio.uchile.cl/handle/2250/154155
DOI: 10.1007/s00229-011-0492-3
ISSN: 00252611
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Manuscripta Mathematica, Volumen 138, Issue 3-4, 2018, Pages 273-286
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