Multiplicity of singular solutions to the fractional Yamabe problem on spheres

Abstract

We prove nonuniqueness results for complete metrics with constant positive fractional curvature conformal to the round metric on $S^n\setminus S^k$, using bifurcation techniques. These are singular (positive) solutions to a non-local equation with critical non-linearity.

arXiv commentLaTeX2e, 18 pages, 2 figures, final (revised) version

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