Multiplicity of singular solutions to the fractional Yamabe problem on spheres
Differential Geometry
2024-06-13 v2 Analysis of PDEs
Abstract
We prove nonuniqueness results for complete metrics with constant positive fractional curvature conformal to the round metric on , using bifurcation techniques. These are singular (positive) solutions to a non-local equation with critical non-linearity.
Keywords
Cite
@article{arxiv.2302.11073,
title = {Multiplicity of singular solutions to the fractional Yamabe problem on spheres},
author = {Renato G. Bettiol and María del Mar González and Ali Maalaoui},
journal= {arXiv preprint arXiv:2302.11073},
year = {2024}
}
Comments
LaTeX2e, 18 pages, 2 figures, final (revised) version