Han Lu

collaborators

4 papers

math.AP2026

Liouville Theorem for the Constant $Q / R$ -Curvature Equation

Han Lu

We study positive entire solutions of the flat constant $Q / R$ -curvature equation in dimension $n \geq 5$ . We prove that the weak superharmonicity condition $- Δ u \geq 0$ already forces…

math.DG2026

Green function asymptotics for the $σ_{2}$ -Yamabe problem

Bin Deng, Han Lu

We establish, at every pole, the asymptotic expansion of the normalized $Γ_{2}$ -Green function with a finite pole set in every dimension $n \geq 5$ . In dimensions $5 \leq n \leq 7$ the first…

cond-mat.mes-hall2026

Quantum Divergence and Topological Edge Diagnostics via Levitov Full Counting Statistics

Maolin Bo, Xiang Chen, Siyu Liu +4

We propose a differential full counting statistics protocol for mesoscopic transport. Additionally, we compare terminal Fano factors and noise cumulants between gate configurations…

math.DG2026

Blow-up phenomena for the $σ_{2}$ -Yamabe equation

Bin Deng, Han Lu, Jun-cheng Wei

For every integer $n \geq 27$ , we construct a smooth metric on $S^{n}$ that is invariant under the antipodal map and is not locally conformally flat. For this fixed background m…

Liouville Theorem for the Constant Q/R-Curvature Equation

Green function asymptotics for the σ2​-Yamabe problem

Quantum Divergence and Topological Edge Diagnostics via Levitov Full Counting Statistics

Blow-up phenomena for the σ2​-Yamabe equation

Liouville Theorem for the Constant $Q / R$ -Curvature Equation

Green function asymptotics for the $σ_{2}$ -Yamabe problem

Blow-up phenomena for the $σ_{2}$ -Yamabe equation