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Positive solutions for a fourth order equation invariant under isometries |
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| Authors: | Fré dé ric Robert |
| Affiliation: | Département de Mathématiques-Site Saint-Martin, Université de Cergy-Pontoise, 2, Avenue Adolphe Chauvin, F 95302 Cergy-Pontoise Cedex, France |
| Abstract: | Let  be a smooth compact Riemannian manifold of dimension  . We consider the problem  where  ,  ,  . We require  to be positive and invariant under isometries. We prove existence results for  on arbitrary compact manifolds. This includes the case of the geometric Paneitz-Branson operator on the sphere. |
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