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Existence of conformal metrics with constant Q-curvature
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Djadli, Zindine and Malchiodi, A. (2008) Existence of conformal metrics with constant Q-curvature. Annals of Mathematics, Vol.168 (No.3). pp. 813-858. doi:10.4007/annals.2008.168.813 ISSN 0003-486X.
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Official URL: http://dx.doi.org/10.4007/annals.2008.168.813
Abstract
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-curvature under generic assumptions. The problem amounts to solving a fourth-order nonlinear elliptic equation with variational structure. Since the corresponding Euler functional is in general unbounded from above and from below, we employ topological methods and min-max schemes, jointly with the compactness result of [35].
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Annals of Mathematics | ||||
Publisher: | Mathematical Sciences Publishers | ||||
ISSN: | 0003-486X | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.168 | ||||
Number: | No.3 | ||||
Page Range: | pp. 813-858 | ||||
DOI: | 10.4007/annals.2008.168.813 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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