Multiple Delaunay ends solutions of the Cahn-Hilliard equation
| Author | dc.contributor.author | Kowalczyk, Michal Antoni | |
| Author | dc.contributor.author | Rizzi, Matteo | |
| Admission date | dc.date.accessioned | 2022-04-19T15:47:33Z | |
| Available date | dc.date.available | 2022-04-19T15:47:33Z | |
| Publication date | dc.date.issued | 2021 | |
| Cita de ítem | dc.identifier.citation | Communications in Partial Differential Equations Early Access Nov 2021 | es_ES |
| Identifier | dc.identifier.other | 10.1080/03605302.2021.2008963 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/184953 | |
| Abstract | dc.description.abstract | Let Sigma be a surface of constant mean curvature in R-3 with multiple Delaunay ends. Assuming that Sigma is non degenerate in this paper we construct new solutions to the Cahn-Hilliard equation epsilon Delta u + epsilon(-1)u(1 - u(2)) = l(epsilon) in R-3 such that as epsilon -> 0 the zero level set of u(epsilon) approaches Sigma. Moreover, on compacts of the connected components of R-3\Sigma we have 1 - vertical bar u(epsilon)vertical bar -> 0 uniformly. | es_ES |
| Patrocinador | dc.description.sponsorship | Chilean research grants Fondecyt 1130126 1170164 1210405 Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT) CONICYT PIA/BASAL AFB170001 ANID projects ACE210010 FB210005 Fondecyt postdoctoral research grant 3170111 | es_ES |
| Lenguage | dc.language.iso | en | es_ES |
| Publisher | dc.publisher | Taylor & Francis | es_ES |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| Source | dc.source | Communications in Partial Differential Equations | es_ES |
| Keywords | dc.subject | Constant mean curvature surfaces | es_ES |
| Keywords | dc.subject | Lyapunov-Schmidt reduction | es_ES |
| Título | dc.title | Multiple Delaunay ends solutions of the Cahn-Hilliard equation | es_ES |
| Document type | dc.type | Artículo de revista | es_ES |
| dc.description.version | dc.description.version | Versión sometida a revisión - Preprint | es_ES |
| dcterms.accessRights | dcterms.accessRights | Acceso abierto | es_ES |
| Cataloguer | uchile.catalogador | crb | es_ES |
| Indexation | uchile.index | Artículo de publícación WoS | es_ES |
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