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math.AP2018
Convergence of the fractional Yamabe flow for a class of initial data
Hardy Chan, Yannick Sire, Liming Sun
This work is a follow-up on the work of the second author with P. Daskalopoulos and J.L. Vázquez. In this latter work, we introduced the Yamabe flow associated to the so-called fra…
math.AP2018
Bound state solutions for the supercritical fractional Schrödinger equation
Weiwei Ao, Hardy Chan, Maria del Mar Gonzalez +1
We prove the existence of positive solutions for the supercritical nonlinear fractional Schrödinger equation in , with as $|x|\to +\…
math.AP2018
On higher dimensional singularities for the fractional Yamabe problem: a non-local Mazzeo-Pacard program
Weiwei Ao, Hardy Chan, Azahara DelaTorre +3
We consider the problem of constructing solutions to the fractional Yamabe problem that are singular at a given smooth sub-manifold, and we establish the classical gluing method of…