ON THE HIGHER ORDER CONFORMAL COVARIANT OPERATORS ON THE SPHERE

DOI10.1142/S0219199707002435zbMath1132.58010arXivmath/0611894MaRDI QIDQ3594931

Feng Bo Hang

Publication date: 9 August 2007

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611894

zbMATH Keywords

sharp Sobolev inequalities\(Q\)-curvatureYamaba operator

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (13)

Sharp higher-order Sobolev inequalities in the hyperbolic space \(\mathbb H^n\) ⋮ Paneitz operator for metrics near \(S^{3}\) ⋮ Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications ⋮ The two dimensional \(L_p\) Minkowski problem and nonlinear equations with negative exponents ⋮ STEADY STATES FOR ONE-DIMENSIONAL CURVATURE FLOWS ⋮ Parabolic equations related to curve motion ⋮ One-dimensional conformal metric flow ⋮ Liouville type results for semilinear biharmonic problems in exterior domains ⋮ Higher order Sobolev trace inequalities on balls revisited ⋮ QCurvature on a Class of 3-Manifolds ⋮ Reverse conformally invariant Sobolev inequalities on the sphere ⋮ Affine Moser-Trudinger and Morrey-Sobolev inequalities ⋮ Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on \(\mathbb{S}^n\)

Cites Work

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