Bifurcation results for a fractional elliptic equation with critical exponent in Rn
dc.bibliographicCitation.volume | 2026 | |
dc.contributor.author | Dipierro, Serena | |
dc.contributor.author | Medina, Maria | |
dc.contributor.author | Peral, Ireneo | |
dc.contributor.author | Valdinoci, Enrico | |
dc.date.accessioned | 2016-03-24T17:37:03Z | |
dc.date.available | 2019-06-28T08:12:56Z | |
dc.date.issued | 2014 | |
dc.description.abstract | In this paper we study some nonlinear elliptic equations obtained as a perturbation of the problem with the fractional critical Sobolev exponent. To construct solutions to this equation, we use the Lyapunov-Schmidt reduction, that takes advantage of the variational structure of the problem. Some cases of the parameter range are particularly difficult, due to the lack of regularity of the associated energy functional, and we need to introduce a new functional setting and develop an appropriate fractional elliptic regularity theory. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2064 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2899 | |
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 2026, 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 | Bifurcation | eng |
dc.subject | Lyapunov-Schmidt reduction | eng |
dc.subject | critical problem | eng |
dc.subject | fractional elliptic regularity | eng |
dc.subject.ddc | 510 | eng |
dc.title | Bifurcation results for a fractional elliptic equation with critical exponent in Rn | 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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