1 citations · 1 across the 6 of their papers we have counts for
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Liouville Rigidity and Universal Spacelikeness Estimates for a Lorentzian Prescribed Mean Curvature Equation
Xi-Nan Ma, Tian Wu, Wangzhe Wu +1
We prove a Liouville theorem for nonnegative entire strictly spacelike solutions of \[ \operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right)+u^p=0 \qquad\text{in }\…
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.…
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 \(\operatorname{Ric}\geqslant 3κg\)…
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…