T. Xu

activity

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

collaborators

Showing 2018 · math.DGShow all

2 papers · 2 filters

math.DG2018★ 3 cited

A spinorial analogue of the Brezis-Nirenberg theorem involving the critical Sobolev exponent

Thomas Bartsch, Tian Xu

Let $(M, g, σ)$ be a compact Riemannian spin manifold of dimension $m \geq 2$ , let $S (M)$ denote the spinor bundle on $M$ , and let $D$ be the Atiyah-Singer Dirac oper…

math.DG2018

Conformal embeddings of $S^{2} \to R^{3}$ with prescribed mean curvature: A variational approach

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 $m$ -sphere, $m…

A spinorial analogue of the Brezis-Nirenberg theorem involving the critical Sobolev exponent

Conformal embeddings of S2→R3 with prescribed mean curvature: A variational approach

Conformal embeddings of $S^{2} \to R^{3}$ with prescribed mean curvature: A variational approach