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Fractional conformal Laplacians and fractional Yamabe problems

Author
Gonzalez, M.; Qing, J.
Type of activity
Report
Date
2010-12
Code
[prepr201011GonQ]
Project funding
ECUACIONES EN DERIVADAS PARCIALES; ANÁLISIS Y APLICACIONES
EQUACIONS DIFERENCIALS EN DERIVADES PARCIALS I APLICACIONS
Repository
http://hdl.handle.net/2117/11402 Open in new window
URL
http://www.ma1.upc.edu/recerca/preprints2010.html Open in new window
Abstract
Based on the relations between scattering operators of asymptotically hyperbolic metrics and Dirichlet-to-Neumann operators of uniformly degenerate elliptic boundary value problems observed in [11], we formulate fractional Yamabe problems that include the boundary Yamabe problem studied by Escobar in [15]. We observe an interesting Hopf type maximum principle together with interplays between analysis of weighted trace Sobolev inequalities and conformal structure of the underlying manifolds, whic...
Group of research
EDP - Partial Differential Equations and Applications

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