Solutions of the fractional Allen-Cahn equation which are invariant under screw motion
Author
dc.contributor.author
Cinti, Eleonora
Author
dc.contributor.author
Dávila Bonczos, Juan
Author
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Pino Manresa, Manuel del
Admission date
dc.date.accessioned
2016-12-20T19:40:35Z
Available date
dc.date.available
2016-12-20T19:40:35Z
Publication date
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2016
Cita de ítem
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J. London Math. Soc. (2) 94 (2016) 295–313
es_ES
Identifier
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10.1112/jlms/jdw033
Identifier
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https://repositorio.uchile.cl/handle/2250/142011
Abstract
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We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in R-3, which vanish on helicoids and are invariant under screw motion. In addition, we prove that helicoids are surfaces with vanishing non-local mean curvature.