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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Displaying similar documents to “On the Paneitz energy on standard three sphere”
The Paneitz equation in hyperbolic space
On a fourth order equation in 3-D
Xingwang Xu, Paul C. Yang (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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In this article we study the positivity of the 4-th order Paneitz operator for closed 3-manifolds. We prove that the connected sum of two such 3-manifold retains the same positivity property. We also solve the analogue of the Yamabe equation for such a manifold.
Metrics of constant curvature on a Riemann surface with two corners on the boundary
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A note on extremal functions for sharp Sobolev inequalities.
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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A conformally invariant sphere theorem in four dimensions
Sun-Yung A. Chang, Matthew J. Gursky, Paul C. Yang (2003)
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Spectral theory of invariant operators, sharp inequalities, and representation theory
Branson, Thomas
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The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.