edoc-vmtest

Quantization for the prescribed Q-curvature equation on open domains

Martinazzi, Luca. (2011) Quantization for the prescribed Q-curvature equation on open domains. Communications in Contemporary Mathematics, 13. pp. 533-551.

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Official URL: http://edoc.unibas.ch/49902/

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Abstract

We discuss compactness, blow-up and quantization phenomena for the prescribed Q-curvature equation (−Δ)muk=Vke2muk on open domains of $\R{2m}$. Under natural integral assumptions we show that when blow-up occurs, up to a subsequence
limk→∞∫Ω0Vke2mukdx=LΛ1,
where Ω0⊂⊂Ω is open and contains the blow-up points, L∈N and $\Lambda_1:=(2m-1)!\vol(S^{2m})$ is the total Q-curvature of the round sphere S2m. Moreover, under suitable assumptions, the blow-up points are isolated. We do not assume that V is positive.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik
UniBasel Contributors:Martinazzi, Luca
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:World Scientific Publishing
ISSN:0219-1997
e-ISSN:1793-6683
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:17 Jan 2018 10:07
Deposited On:17 Jan 2018 10:07

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