Geodesic
Existence of conformal metrics with constant Q-curvature
Zindine Djadli1 ; A. Malchiodi2
1 Institut Fourier<br/>Université Grenoble<br/>38402 St. Martin d'Heres<br/>France
2 SISSA<br/>34136 Trieste<br/>Italy
Annals of mathematics, Tome 168 (2008) no. 3, pp. 813-858.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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].
DOI : 10.4007/annals.2008.168.813

Zindine Djadli 1 ; A. Malchiodi 2

1 Institut Fourier<br/>Université Grenoble<br/>38402 St. Martin d'Heres<br/>France
2 SISSA<br/>34136 Trieste<br/>Italy 
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Zindine Djadli; A. Malchiodi. Existence of conformal metrics with constant Q-curvature. Annals of mathematics, Tome 168 (2008) no. 3, pp. 813-858. doi : 10.4007/annals.2008.168.813. http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.168.813/

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