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math.DG2026
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…
math.AP2026
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 }\…
quant-ph2026
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…