Uniformization theorems: between Yamabe and Paneitz

DOI10.2140/pjm.2021.314.115zbMath1477.58012arXiv1911.02680OpenAlexW3208485693WikidataQ113727167 ScholiaQ113727167MaRDI QIDQ2237252

Yannick Sire, Cheikh Birahim Ndiaye, Li-Ming Sun

Publication date: 27 October 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.02680

zbMATH Keywords

fractional GJMS operatorPoincaré-Einstein manifoldalgebraic topological argumentbarycenter technique

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Fractional partial differential equations (35R11) Differential geometry of submanifolds of Möbius space (53A31)

Related Items (3)

Asymptotics of the Poisson kernel and Green's functions of the fractional conformal Laplacian ⋮ Multiplicity of singular solutions to the fractional Yamabe problem on spheres ⋮ Optimal control for the conformal Laplacian obstacle problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification theorems for solutions of higher order boundary conformally invariant problems. I.
• Some energy inequalities involving fractional GJMS operators
• Singular solutions of fractional order conformal Laplacians
• CR Yamabe conjecture -- the conformally flat case.
• Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe-type equations
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Convergence of the Yamabe flow for arbitrary initial energy
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Scattering matrix in conformal geometry
• Barycenter technique and the Riemann mapping problem of Cherrier-Escobar
• Further results on the fractional Yamabe problem: the umbilic case
• On the variational principle
• Topics in geometry. In memory of Joseph D'Atri
• A global compactness type result for Palais-Smale sequences in fractional Sobolev spaces
• Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow
• Existence theorems of the fractional Yamabe problem
• Compactness for conformal metrics with constant \(Q\) curvature on locally conformally flat manifolds
• On Fractional GJMS Operators
• Blow-up phenomena for the Yamabe equation
• Conformally Invariant Powers of the Laplacian, I: Existence
• Existence results for the Yamabe problem on manifolds with boundary
• The Yamabe problem
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Another proof of the Yamabe conjecture for locally conformally flat manifolds

This page was built for publication: Uniformization theorems: between Yamabe and Paneitz