Gluing metrics with prescribed Q-curvature and different asymptotic behaviour in high dimension
dc.contributor.author
Hyder, Ali
dc.contributor.author
Martinazzi, Luca
dc.date.accessioned
2021-10-20T05:36:09Z
dc.date.available
2021-10-20T02:54:16Z
dc.date.available
2021-10-20T05:36:09Z
dc.date.issued
2021
dc.identifier.issn
0391-173X
dc.identifier.other
10.2422/2036-2145.201905_001
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/510668
dc.description.abstract
We show a new example of blow-up behaviour for the prescribed Q-curvature equation in even dimension 6 , higher, namely given a sequence (V-k) subset of C-0(R-2n) suitably converging we construct for n >= 3 a sequence (u(k)) of radially symmetric solutions to the equation
en_US
dc.description.abstract
(-Delta)(n)u(k) = V(k)e(2nuk) in R-2n,
en_US
dc.description.abstract
with uk blowing up at the origin and on a sphere. We also prove sharp blow-up estimates. This is in sharp contrast with the 4-dimensional case studied by F. Robert (J. Differential Equation, 2006).
en_US
dc.language.iso
en
en_US
dc.publisher
Scuola Normale Superiore
en_US
dc.title
Gluing metrics with prescribed Q-curvature and different asymptotic behaviour in high dimension
en_US
dc.type
Journal Article
dc.date.published
2021-06-24
ethz.journal.title
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
ethz.journal.volume
22
en_US
ethz.journal.issue
2
en_US
ethz.journal.abbreviated
Ann. sc. norm. super. Pisa, Cl. sci. (Testo stamp.)
ethz.pages.start
505
en_US
ethz.pages.end
547
en_US
ethz.size
43 p.
en_US
ethz.grant
Spectral and eigenvector statistics of large random matrices
en_US
ethz.identifier.wos
ethz.publication.place
Pisa
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::08819 - Da Lio, Francesca (Tit.-Prof.)
en_US
ethz.grant.agreementno
144662
ethz.grant.fundername
SNF
ethz.grant.funderDoi
10.13039/501100001711
ethz.grant.program
SNF-Förderungsprofessuren Stufe 2
ethz.date.deposited
2021-10-20T02:54:42Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-10-20T05:36:17Z
ethz.rosetta.lastUpdated
2022-03-29T14:22:15Z
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true
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