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arXiv · 1510.08504

Delaunay-type singular solutions for the fractional Yamabe Problem

A. DelaTorre·M. del Pino·M. d. M. Gonzalez·Juncheng Wei
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Abstract

We construct Delaunay-type solutions for the fractional Yamabe problem with an isolated singularity $(-\Delta)^\gamma w = c_{n, \gamma} w^{\frac{n+2\gamma}{n-2\gamma}}, w>0 \ \mbox{in} \ \mathbb{R}^n \backslash \{0\}$ We follow a variational approach, in which the key is the computation of the fractional Laplacian in polar coordinates.

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A. DelaTorre, M. del Pino, M. d. M. Gonzalez, Juncheng Wei. 2015-10-28. Delaunay-type singular solutions for the fractional Yamabe Problem. https://arxiv.org/abs/1510.08504

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