Multiplicity of singular solutions to the fractional Yamabe problem on spheres

Authors

Renato G. Bettiol, CUNY Lehman College
María del Mar González, Universidad Autonoma de Madrid
Ali Maalaoui, Clark UniversityFollow

Document Type

Article

Abstract

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

Publication Title

Journal of Differential Equations

Publication Date

4-25-2024

Volume

389

First Page

285

Last Page

304

ISSN

0022-0396

DOI

10.1016/j.jde.2024.01.019

Repository Citation

Bettiol, Renato G.; González, María del Mar; and Maalaoui, Ali, "Multiplicity of singular solutions to the fractional Yamabe problem on spheres" (2024). Mathematics. 14.
https://commons.clarku.edu/mathematics/14