Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry
Azahara DelaTorre
Universität Freiburg, GermanyMaría del Mar González
Universidad Autónoma de Madrid, Spain
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Abstract
We consider radial solutions with an isolated singularity for a semilinear equation involving the fractional Laplacian. In conformal geometry, this is equivalent to the study of singular metrics with constant fractional curvature (singular fractional Yamabe problem). Our main ideas are: first, to set up the problem into a natural geometric framework; and second, to reduce the problem to a non-local ODE for which we are able to perform some kind of phase portrait study.
Cite this article
Azahara DelaTorre, María del Mar González, Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry. Rev. Mat. Iberoam. 34 (2018), no. 4, pp. 1645–1678
DOI 10.4171/RMI/1038