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20142023
most citedLocalized concentration of semi-classical states for nonlinear Dirac equations

35 citations · 60 across the 11 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

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…

math.DG2020

Blow-up profile for spinorial Yamabe type equation on

Tian Xu

Motivated by recent progress on a spinorial analogue of the Yamabe problem in the geometric literature, we study a conformally invariant spinor field equation on the -sphere, $m…