35 citations · 60 across the 11 of their papers we have counts for
Showing 2020 · math.APShow all
2 papers · 2 filters
math.AP2020★ 4 cited
Strongly localized semiclassical states for nonlinear Dirac equations
Thomas Bartsch, Tian Xu
We study semiclassical states of the nonlinear Dirac equation \[ -i\hbar\partial_tψ= ic\hbar\sum_{k=1}^3α_k\partial_kψ- mc^2βψ- M(x)ψ+ f(|ψ|)ψ,\quad t\in\mathbb{R},\ x\in\mathbb{R}…
math.AP2020
A variational analysis of the spinorial Yamabe equation on product manifolds
Yannick Sire, Tian Xu
This work is devoted to the analysis of the Yamabe problem on Spin manifolds and some applications to CMC immersions. Despite the efforts of many authors, very little is known on t…