On the Paneitz energy on standard three sphere

DOI10.1051/cocv:2004002zbMath1072.58026OpenAlexW2164547309MaRDI QIDQ5465547

Meijun Zhu, Paul C. Yang

Publication date: 9 August 2005

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2004__10_2_211_0

zbMATH Keywords

symmetrizationPaneitz operatorextremal metric

Mathematics Subject Classification ID

Critical metrics (58E11) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Q-Curvature on a Class of Manifolds with Dimension at Least 5, Paneitz operator for metrics near \(S^{3}\), Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications, STEADY STATES FOR ONE-DIMENSIONAL CURVATURE FLOWS, A Paneitz-Branson type equation with Neumann boundary conditions, The Fourth-OrderQ-Curvature Flow on Closed 3-Manifolds, ON THE HIGHER ORDER CONFORMAL COVARIANT OPERATORS ON THE SPHERE, QCurvature on a Class of 3-Manifolds, Reverse conformally invariant Sobolev inequalities on the sphere, On the $Q$-curvature problem on $\mathbb {S}^3$, Higher order conformally invariant equations in \( \mathbb{R}^3 \) with prescribed volume, Non-radial solutions to a bi-harmonic equation with negative exponent

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