Gluing metrics with prescribed Q-curvature and different asymptotic behaviour in high dimension
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Date
2021Type
- Journal Article
ETH Bibliography
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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
(-Delta)(n)u(k) = V(k)e(2nuk) in R-2n,
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).
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publishedExternal links
Journal / series
Annali della Scuola Normale Superiore di Pisa, Classe di ScienzeVolume
Pages / Article No.
Publisher
Scuola Normale SuperioreOrganisational unit
08819 - Da Lio, Francesca (Tit.-Prof.)
Funding
144662 - Spectral and eigenvector statistics of large random matrices (SNF)
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