1 citations · 1 across the 6 of their papers we have counts for
6 papers
Classification of Solutions to a Critical Fourth-Order Equation on Complete Non-compact Manifolds
Huabin Li, Tian Wu, Xiao Zhou
We study the critical biharmonic equation \[ Δ^2 u=u^{\frac{n+4}{n-4}}, \] on a complete, connected, and non-compact Riemannian manifold \((M^n,g)\) of dimension \(n\geq 5\) with n…
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 }\…
Cyclic ladder operators and hidden Weyl-Heisenberg structure in a Floquet system
Tianao Wu, Li Ge
Ladder operators, found in the quantum harmonic oscillator and other quantized systems, provide an elegant approach to solving or understanding otherwise intricate physics problems…
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…