| Author | dc.contributor.author | Pino Manresa, Manuel del | |
| Admission date | dc.date.accessioned | 2010-01-13T12:22:47Z | |
| Available date | dc.date.available | 2010-01-13T12:22:47Z | |
| Publication date | dc.date.issued | 2008-05 | |
| Cita de ítem | dc.identifier.citation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Volume: 21, Issue: 1, Pages: 69-89, 2008 | en_US |
| Identifier | dc.identifier.issn | 1078-0947 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125098 | |
| Abstract | dc.description.abstract | Abstract. We review some recent existence results for the elliptic problem
u+up = 0, u > 0 in an exterior domain,
= RN \D under zero Dirichlet and
vanishing conditions, where D is smooth and bounded, and p > N+2
N−2 . We prove
that the associated Dirichlet problem has infinitely many positive solutions.
We establish analogous results for the standing-wave supercritical nonlinear
Schr¨odinger equation u− V (x)u + up = 0 where V 0 and V (x) = o(|x|−2)
at infinity. In addition we present existence results for the Dirichlet problem
in bounded domains with a sufficiently small spherical hole if p differs from
certain sequence of resonant values which tends to infinity. | en_US |
| Patrocinador | dc.description.sponsorship | This work has been supported by Fondecyt grants 1070389 and Fondap-Chile. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | AMER INST MATHEMATICAL SCIENCES | en_US |
| Keywords | dc.subject | Critical Sobolev exponent | en_US |
| Título | dc.title | SUPERCRITICAL ELLIPTIC PROBLEMS FROM A PERTURBATION VIEWPOINT | en_US |
| Document type | dc.type | Artículo de revista | |
