A note on existence for the fractional Yamabe problem

DOI10.1142/S0219199716500450zbMath1369.58014OpenAlexW2438454608MaRDI QIDQ5276051

Meng Wang

Publication date: 14 July 2017

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

Full work available at URL: https://doi.org/10.1142/s0219199716500450

zbMATH Keywords

asymptotically hyperbolic manifoldfractional Yamabe problem

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Elliptic equations on manifolds, general theory (58J05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Global Riemannian geometry, including pinching (53C20) Fractional partial differential equations (35R11)

Cites Work

• Sharp constants in weighted trace inequalities on Riemannian manifolds
• Fractional Laplacian in conformal geometry
• Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe-type equations
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Einstein metrics with prescribed conformal infinity on the ball
• The Yamabe problem on manifolds with boundary
• Scattering matrix in conformal geometry
• Further results on the fractional Yamabe problem: the umbilic case
• Fractional conformal Laplacians and fractional Yamabe problems
• On Fractional GJMS Operators
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

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