Ground states and concentration phenomena for the fractional Schrödinger equation
| dc.bibliographicCitation.volume | 2031 | |
| dc.contributor.author | Fall, Mouhamed Moustapha | |
| dc.contributor.author | Mahmoudi, Fethi | |
| dc.contributor.author | Valdinoci, Enrico | |
| dc.date.accessioned | 2016-03-24T17:37:04Z | |
| dc.date.available | 2019-06-28T08:13:14Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | We consider here solutions of the nonlinear fractional Schrödinger equation. We show that concentration points must be critical points for the potential. We also prove that, if the potential is coercive and has a unique global minimum, then ground states concentrate suitably at such minimal point. In addition, if the potential is radial, then the minimizer is unique. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2459 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2916 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2031, ISSN 2198-5855 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject | Fractional Laplacian | eng |
| dc.subject | ground states | eng |
| dc.subject | concentration phenomena | eng |
| dc.subject | uniqueness | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Ground states and concentration phenomena for the fractional Schrödinger equation | eng |
| dc.type | report | eng |
| dc.type | Text | eng |
| dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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