3 papers
math.AP2026
A Sharp Sobolev Inequality on Compact CR Manifolds
Zhongwei Tang, Bingwei Zhang
For any \(n\geq 1\), let \((M,θ)\) be a compact strictly pseudoconvex hypersurface type CR manifold with dimension \(2n+1\), \(Q=2n+2\) be its homogeneous dimension. We prove the s…
math.NA2026
Taylor Tube Method for Validated IVP
Bingwei Zhang, Chee Yap
We recently introduced a novel architecture for the design of validated IVP algorithms. This architecture forms the basis of our complete validated algorithm for IVP. A key subrout…
math.AP2024
On the CR Nirenberg problem: density and multiplicity of solutions
Zhongwei Tang, Heming Wang, Bingwei Zhang
We prove some results on the density and multiplicity of positive solutions to the prescribed Webster scalar curvature problem on the -dimensional standard unit CR sphere $…