Author | dc.contributor.author | Dávila, Juan | |
Author | dc.contributor.author | Dupaigne, Louis | es_CL |
Author | dc.contributor.author | Montenegro, Marcelo | es_CL |
Admission date | dc.date.accessioned | 2010-01-15T13:33:56Z | |
Available date | dc.date.available | 2010-01-15T13:33:56Z | |
Publication date | dc.date.issued | 2008-07 | |
Cita de ítem | dc.identifier.citation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS Volume: 7 Issue: 4 Pages: 795-817 Published: JUL 2008 | en_US |
Identifier | dc.identifier.issn | 1534-0392 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125141 | |
Abstract | dc.description.abstract | We consider
Delta u = 0 in Omega, partial derivative u/partial derivative v = lambda f(u) on Gamma(1), u= 0 on Gamma(2)
where lambda > 0, f(u) = e(u) or f(u) = (1 + u)(p), Gamma(1), Gamma(2) is a partition of partial derivative Omega and Omega subset of R-N. We determine sharp conditions on the dimension N and p > 1 such that the extremal solution is bounded, where the extremal solution refers to the one associated to the largest lambda for which a solution exists. | en_US |
Lenguage | dc.language.iso | en | en_US |
Publisher | dc.publisher | AMER INST MATHEMATICAL SCIENCES | en_US |
Keywords | dc.subject | SEMILINEAR ELLIPTIC-EQUATIONS | en_US |
Título | dc.title | The extremal solution of a boundary reaction problem | en_US |
Document type | dc.type | Artículo de revista | |