1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
Liouville theorem of the subcritical biharmonic equation on complete manifolds
Xi-Nan Ma, Tian Wu, Wangzhe Wu
In this paper, we study the subcritical biharmonic equation \[Δ^2 u=u^α\] on a complete, connected, and non-compact Riemannian manifold with nonnegative Ricci curvature.…
math.AP2025
The Liouville-type equation and an Onofri-type inequality on closed 4-manifolds
Xi-Nan Ma, Tian Wu, Xiao Zhou
In this paper, we study the Liouville-type equation \[Δ^2 u-λ_1κΔu+λ_2κ^2(1-\mathrm e^{4u})=0\] on a closed Riemannian manifold \((M^4,g)\) with \(\operatorname{Ric}\geqslant 3κg\)…
math.AP2023★ 1 cited
Jerison-Lee identity and Semi-linear subelliptic equation on CR manifold
Xi-Nan Ma, Qianzhong Ou, Tian Wu
In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR) Yamabe problem, Jerison-Lee found a three-dimensional family of differential…