The derivative at zero of the conformal fractional Laplacian yields a conformal logarithmic Laplacian whose spectral, stereographic, and Yamabe-type properties are characterized, including an explicit classification of nonnegative weak solutions.
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The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces
The derivative at zero of the conformal fractional Laplacian yields a conformal logarithmic Laplacian whose spectral, stereographic, and Yamabe-type properties are characterized, including an explicit classification of nonnegative weak solutions.