35 citations · 60 across the 11 of their papers we have counts for
4 papers · 1 filter
Non-compactness results for the spinorial Yamabe-type problems with non-smooth geometric data
Takeshi Isobe, Yannick Sire, Tian Xu
Let be an -dimensional closed spin manifold, with a fixed Riemannian metric and a fixed spin structure ; let be the spinor bun…
Solutions of Spinorial Yamabe-type Problems on : Perturbations and Applications
Takeshi Isobe, Tian Xu
This paper is part of a program to establish the existence theory for the conformally invariant Dirac equation \[ D_{\textit{g}}ψ=f(x)|ψ|_{\textit{g}}^{\frac2{m-1}}ψ\] on a closed…
Curvature effect in the spinorial Yamabe problem on product manifolds
Thomas Bartsch, Tian Xu
Let , be closed Riemannian spin manifolds. We study the existence of solutions of the spinorial Yamabe problem on the product $M_1\…
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…