A new proof of the classification of solutions to some  linearized fractional Yamabe type equations

doi:10.3969/j.issn.0253-2778.2015.12.001

Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (12): 967-971.DOI: 10.3969/j.issn.0253-2778.2015.12.001

• Research Articles:Mathematics • Next Articles

A new proof of the classification of solutions to some linearized fractional Yamabe type equations

FANG Yi

School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

Received:2015-04-07 Revised:2015-11-10 Accepted:2015-11-10 Online:2023-03-27 Published:2015-11-10
About author:FANG Yi, male, born in 1985, PhD candidate. Research field: geometric analysis. E-mail: yif@mail.ustc.edu.cn

Abstract

Abstract: The classifications of all the solutions to the linearized Yamabe equations and fractional Yamabe type equations are crucial to the proof of the compactness of the scalar curvature problems and the fractional scalar curvature problems respectively. These classifications, though having been proved in an analytical way before, have been proved by adopting some new geometric approaches from the perspective of conformal geometry.

Key words: fractional Laplacian, fractional Yamabe type equations, scattering operators, spherical harmonic functions

CLC Number:

O175.2

FANG Yi. A new proof of the classification of solutions to some linearized fractional Yamabe type equations[J]. Journal of University of Science and Technology of China, 2015, 45(12): 967-971.

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A new proof of the classification of solutions to some linearized fractional Yamabe type equations

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