On a class of non-local operators in conformal geometry

DOI10.1007/s11401-016-1068-zzbMath1362.53043OpenAlexW2567987179MaRDI QIDQ523802

Sun Yung Alice Chang, Ray A. Yang

Publication date: 21 April 2017

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-1068-z

zbMATH Keywords

generalized boundary Yamabe problemhigh-order fractional GJMS operatorSobolov trace extension

Mathematics Subject Classification ID

Related Items (14)

A simple proof of the generalized Leibniz rule on bounded Euclidean domains ⋮ On conformally compact Einstein manifolds ⋮ Sharp weighted Sobolev trace inequalities and fractional powers of the Laplacian ⋮ \(L^1\) isoperimetric inequality on the unit disk ⋮ The \(s\)-polyharmonic extension problem and higher-order fractional Laplacians ⋮ Bulk-boundary eigenvalues for bilaplacian problems ⋮ The regularity problem in domains with lower dimensional boundaries ⋮ Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry ⋮ Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations ⋮ Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations ⋮ Higher order Sobolev trace inequalities on balls revisited ⋮ Concentration phenomena for the fractional Q‐curvature equation in dimension 3 and fractional Poisson formulas ⋮ Reverse conformally invariant Sobolev inequalities on the sphere ⋮ Helmholtz solutions for the fractional Laplacian and other related operators

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