Delaunay-type singular solutions for the fractional Yamabe problem

We construct Delaunay-type solutions for the fractional Yamabe problem with an isolated singularity ( - Δ ) γ w = c n , γ w n + 2 γ n - 2 γ , w > 0 in R n \ { 0 } . We follow a variational approach, in which the key is the computation of the fractional Laplacian in polar coordinates.

Bibliographic Details

Published in:	Mathematische annalen Vol. 369; no. 1-2; pp. 597 - 626
Main Authors:	DelaTorre, Azahara, del Pino, Manuel, González, María del Mar, Wei, Juncheng
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-10-2017 Springer Nature B.V
Subjects:	Mathematics Mathematics and Statistics Polar coordinates
Online Access:	Get full text
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