Showing math.APShow all
3 papers · 1 filter
math.AP2026
Liouville Rigidity for Entire Strictly Spacelike Solutions of 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 }\…
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 \[Î^2 u=u^α\] 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 \[Î^2 u-λ_1κÎu+λ_2κ^2(1-\mathrm e^{4u})=0\] on a closed Riemannian manifold \((M^4,g)\) with \(\operatorname{Ric}\geqslant…