The Paneitz equation in hyperbolic space
Hans-Christoph Grunau, Mohameden Ould Ahmedou, Wolfgang Reichel (2008)
Annales de l'I.H.P. Analyse non linéaire
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The Paneitz equation in hyperbolic space
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On the Paneitz energy on standard three sphere
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We prove that the Paneitz energy on the standard three-sphere is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
The evolution of the scalar curvature of a surface to a prescribed function
Paul Baird, Ali Fardoun, Rachid Regbaoui (2004)
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We investigate the gradient flow associated to the prescribed scalar curvature problem on compact riemannian surfaces. We prove the global existence and the convergence at infinity of this flow under sufficient conditions on the prescribed function, which we suppose just continuous. In particular, this gives a uniform approach to solve the prescribed scalar curvature problem for general compact surfaces.