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.
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 |
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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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