Ground states and concentration phenomena for the fractional Schrodinger equation
| Author | dc.contributor.author | Fall, Mouhamed Moustapha | |
| Author | dc.contributor.author | Mahmoudi, Fethi | |
| Author | dc.contributor.author | Valdinoci, Enrico | |
| Admission date | dc.date.accessioned | 2015-08-25T15:26:18Z | |
| Available date | dc.date.available | 2015-08-25T15:26:18Z | |
| Publication date | dc.date.issued | 2015 | |
| Cita de ítem | dc.identifier.citation | Nonlinearity 28 (2015) 1937–1961 | en_US |
| Identifier | dc.identifier.other | DOI: 10.1088/0951-7715/28/6/1937 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/133140 | |
| General note | dc.description | Artículo de publicación ISI | en_US |
| Abstract | dc.description.abstract | We consider here solutions of the nonlinear fractional Schr¨odinger equation ε2s(− )su + V (x)u = up. We show that concentration points must be critical points for V . We also prove that if the potential V is coercive and has a unique global minimum, then ground states concentrate suitably at such a minimal point as ε tends to zero. In addition, if the potential V is radial and radially decreasing, then the minimizer is unique provided ε is small | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | IOP Publishing | 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 | Uniqueness | en_US |
| Keywords | dc.subject | Concentration phenomena | en_US |
| Keywords | dc.subject | Ground states | en_US |
| Keywords | dc.subject | Fractional Laplacian | en_US |
| Título | dc.title | Ground states and concentration phenomena for the fractional Schrodinger equation | en_US |
| Document type | dc.type | Artículo de revista |
Files in this item
This item appears in the following Collection(s)
-
Artículos de revistas
Artículos de revistas
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 Chile