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math.DG2023
Multiplicity of singular solutions to the fractional Yamabe problem on spheres
Renato G. Bettiol, María del Mar González, Ali Maalaoui
We prove nonuniqueness results for complete metrics with constant positive fractional curvature conformal to the round metric on , using bifurcation techniques.…
math.AP2023
Constructions of Delaunay-type solutions for the spinorial Yamabe equation on spheres
Ali Maalaoui, Yannick Sire, Tian Xu
In this paper we construct singular solutions to the critical Dirac equation on spheres. More precisely, first we construct solutions admitting two points singularities that we cal…