Boundary Singularities on a Wedge-like Domain of a Semilinear Elliptic Equation
| Author | dc.contributor.author | Gkikas, Konstantinos T. | |
| Admission date | dc.date.accessioned | 2015-12-10T13:27:22Z | |
| Available date | dc.date.available | 2015-12-10T13:27:22Z | |
| Publication date | dc.date.issued | 2015 | |
| Cita de ítem | dc.identifier.citation | Proceedings of the Royal Society of Edinburgh Section A-Mathematics Volumen: 145 Número: 5 oct. 2015 | en_US |
| Identifier | dc.identifier.other | DOI: 10.1017/S0308210515000207 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/135588 | |
| General note | dc.description | Artículo de publicación ISI | en_US |
| Abstract | dc.description.abstract | Let n >= 2 and let Omega subset of Rn+1 be a Lipschitz wedge-like domain. We construct positive weak solutions of the problem Delta u + u(P) = 0 in Omega that vanish in a suitable trace sense on partial derivative Omega, but which are singular at a prescribed 'edge' of Omega if p is equal to or slightly above a certain exponent p(0) > 1 that depends on Omega. Moreover, for the case in which Omega is unbounded, the solutions have fast decay at infinity. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | Cambridge Univ Press | en_US |
| Type of license | dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| Keywords | dc.subject | Wedge- like domains | en_US |
| Keywords | dc.subject | Critical exponents | en_US |
| Keywords | dc.subject | Very weak solution | en_US |
| Keywords | dc.subject | Prescribed boundary singularities | en_US |
| Título | dc.title | Boundary Singularities on a Wedge-like Domain of a Semilinear Elliptic Equation | en_US |
| Document type | dc.type | Artículo de revista |
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Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 Chile