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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 120, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.120 (Mi sigma246) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Conformal Metrics with Constant $Q$-Curvature

Andrea Malchiodi

SISSA, Via Beirut 2-4, Trieste, Italy
Full-text PDF (261 kB) Citations (16)
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DOI: https://doi.org/10.3842/SIGMA.2007.120
Abstract: We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant $Q$-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal barycenters of the manifold.
Keywords: $Q$-curvature; geometric PDEs; variational methods; min-max schemes.
Received: September 2, 2007; in final form December 5, 2007; Published online December 13, 2007
Bibliographic databases:
Document Type: Article
MSC: 35B33; 35J35; 53A30; 53C21
Language: English
Citation: Andrea Malchiodi, “Conformal Metrics with Constant $Q$-Curvature”, SIGMA, 3 (2007), 120, 11 pp.
Citation in format AMSBIB
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\by Andrea Malchiodi
\paper Conformal Metrics with Constant $Q$-Curvature
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\yr 2007
\vol 3
\papernumber 120
\totalpages 11
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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