3 citations · 7 across the 6 of their papers we have counts for
6 papers
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…
Morse-Floer Theory for Super-quadratic Dirac-Geodesics
Takeshi Isobe, Ali Maalaoui
In this paper we present the full details of the construction of a Morse-Floer type homology related to the super-quadratic perturbation of the Dirac-geodesic model. This homology…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang Mills connections in 4 dimensions - Part III
Takeshi Isobe, Antonella Marini
In this paper, the third of its series, we prove that the sobolev spaces of L^p_k approximate solutions to the Dirichlet problem for the epsilon-Yang Mills equations on a four dime…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang-Mills connections in 4 dimensions - Part II
Takeshi Isobe, Antonella Marini
In this paper we complete the proof of the existence of multiple solutions (and, in particular, non minimal ones), to the epsilon-Dirichlet problem obtained as a variational proble…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang Mills connections in 4 dimensions - Part I
Takeshi Isobe, Antonella Marini
In this paper (Part I) and its sequels (Part II and Part III), we analyze the structure of the space of solutions to the epsilon-Dirichlet problem for the Yang-Mills equations on t…